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Calibri 83ffff̙̙3f3fff3f3f33333f33333.TU Delft Repositoryg x uuidrepository linktitleauthorcontributorpublication yearabstract
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departmentresearch group programmeprojectcoordinates)uuid:338585929fa0492eb234586558ac3d69Dhttp://resolver.tudelft.nl/uuid:338585929fa0492eb234586558ac3d693Topological Properties of Superconducting JunctionsPikulin, D.I.; Nazarov, Y.V.ZMotivated by recent developments in the field of onedimensional topological superconductors, we investigate the topological properties of smatrix of generic superconducting junctions where dimension should not play any role. We argue that for a finite junction the smatrix is always topologically trivial. We resolve an apparent contradiction with the previous results by taking into account the lowenergy resonant poles of smatrix. Thus no common topological transition occurs in a finite junction. We reveal a transition of a different kind that concerns the configuration of the resonant poles.enjournal articleSpringerVerlagApplied SciencesQuantum Nanoscience)uuid:f8afa0c3ab6b4b2cb198655786be8c7eDhttp://resolver.tudelft.nl/uuid:f8afa0c3ab6b4b2cb198655786be8c7eAPauli spin blockade in the presence of strong spinorbit couplingDanon, J.; Nazarov, Y.V.We study electron transport in a double quantum dot in the Pauli spin blockade regime in the presence of strong spinorbit coupling. The effect of spinorbit coupling is incorporated into a modified interdot tunnel coupling. We elucidate the role of the external magnetic field, the nuclear fields in the dots, and the spin relaxation. We find qualitative agreement with experimental observations, and we propose a way to extend the range of magnetic fields in which blockade can be observed.American Physical SocietyKavli Institute of Nanoscience)uuid:8c7be6f3906d40c28f275698eed8dfaeDhttp://resolver.tudelft.nl/uuid:8c7be6f3906d40c28f275698eed8dfaeZInfluence of the electrodynamic environment on electron tunneling at finite traversal timeNazarov, Yu.V.)uuid:434e580ac42046ca8343746e5b1ee39fDhttp://resolver.tudelft.nl/uuid:434e580ac42046ca8343746e5b1ee39fMPhotovoltaic effect in quantum adiabatic transport as a way to pump electronsHekking, F.; Nazarov, Yu.V.)uuid:bc70d29500814918911b789583e786d5Dhttp://resolver.tudelft.nl/uuid:bc70d29500814918911b789583e786d5Pauli pump for electrons)uuid:e1f63e4893004b27aeb119912350bac8Dhttp://resolver.tudelft.nl/uuid:e1f63e4893004b27aeb119912350bac8/Limits of universality in disordered conductors
Nazarov, Y.V.)uuid:51ea3d72b3834ea18586fc7ca517eadbDhttp://resolver.tudelft.nl/uuid:51ea3d72b3834ea18586fc7ca517eadb+Wigner molecule on the top of a quantum dotNazarov, Y.V.; Khaetskii, A.V.)uuid:b9e015d090ef4b4a8c2fe27907af6febDhttp://resolver.tudelft.nl/uuid:b9e015d090ef4b4a8c2fe27907af6feb%Circuit theory of Andreev conductance)uuid:723c1f80da274a74a5dafbbe119f6ab9Dhttp://resolver.tudelft.nl/uuid:723c1f80da274a74a5dafbbe119f6ab9RTimeresolved tunneling of single electrons between Landau levels in a quantum dotvan der Vaart, N.C.; de Ruyter van Steveninck, M.P.; Kouwenhoven, L.P.; Johnson, A.T.; Nazarov, Y.V.; Harmans, C.J.P.M.; Foxon, C.T.)uuid:4f804e033c9443e5b8cbe817739c6d07Dhttp://resolver.tudelft.nl/uuid:4f804e033c9443e5b8cbe817739c6d07/Photonassisted tunneling through a quantum dotwKouwenhoven, L.P.; Jauhar, S.; McCormick, K.; Dixon, D.; McEuen, P.L.; Nazarov, Yu.V.; van der Vaart, N.C.; Foxon, C.T.)uuid:d764eb443cea438da133b3f6de4aec17Dhttp://resolver.tudelft.nl/uuid:d764eb443cea438da133b3f6de4aec17Weak localization and the transmission matrix)uuid:d56c9d3eb3a041f1b9145a50888bb7b3Dhttp://resolver.tudelft.nl/uuid:d56c9d3eb3a041f1b9145a50888bb7b35Resonant tunneling through two discrete energy statesnvan der Vaart, N.C.; Godijn, S.F.; Nazarov, Y.V.; Harmans, C.J.P.M.; Mooij, J.E.; Molenkamp, L.W.; Foxon, C.T.)uuid:2d9579212e8e40b68d0e4ada9c39c08aDhttp://resolver.tudel< ft.nl/uuid:2d9579212e8e40b68d0e4ada9c39c08a+Ballistic conductance of composite fermions,Khaetskii, A.; Nazarov, Yu.V.; Bauer, G.E.W.)uuid:409beae42d6d42e7b7695fdd302e5df6Dhttp://resolver.tudelft.nl/uuid:409beae42d6d42e7b7695fdd302e5df6?Incompressible quantum Hall states in Josephsonjunction arraysOdintsov, A.A.; Nazarov, Yu.V.)uuid:a8d2204019734009855da5dbd2906ca1Dhttp://resolver.tudelft.nl/uuid:a8d2204019734009855da5dbd2906ca1BFluctuations of transmission distribution in disordered conductors)uuid:4bef39c7fb424d93b0016de2cae30e63Dhttp://resolver.tudelft.nl/uuid:4bef39c7fb424d93b0016de2cae30e639Timedependent resonant tunneling via two discrete statesStoof, T.H.; Nazarov, Yu.V.)uuid:d96f1e09092f4f3db0641ff2b18132ebDhttp://resolver.tudelft.nl/uuid:d96f1e09092f4f3db0641ff2b18132ebJUniversal excess noise in resonant tunneling via strongly localized statesNazarov, Y.V.; Struben, J.J.R.)uuid:98f2596e54044d7e94e138606fa1d07bDhttp://resolver.tudelft.nl/uuid:98f2596e54044d7e94e138606fa1d07bEKineticequation approach to diffusive superconducting hybrid devices)uuid:1caf001027e14bdc97a0fc5fb206e463Dhttp://resolver.tudelft.nl/uuid:1caf001027e14bdc97a0fc5fb206e4639Flux effect in superconducting hybrid AharonovBohm rings)uuid:b3c895307da14cb2bf7d56990613fa84Dhttp://resolver.tudelft.nl/uuid:b3c895307da14cb2bf7d56990613fa84/Diffusive conductors as Andreev interferometersNazarov, Y.V.; Stoof, T.H.)uuid:a005b6dc5c6e40e8a1a493a62401a3ffDhttp://resolver.tudelft.nl/uuid:a005b6dc5c6e40e8a1a493a62401a3ff2Timeresolved tunneling in the quantum Hall regimeuvan der Vaart, N.C.; Kouwenhoven, L.P.; de Ruyter van Steveninck, M.P.; Nazarov, Y.V.; Harmans, C.J.P.M.; Foxon, C.T.)uuid:de78d462f2134d7a8e4141a775799fe1Dhttp://resolver.tudelft.nl/uuid:de78d462f2134d7a8e4141a775799fe1qReentrant behavior in the superconducting phasedependent resistance of a disordered twodimensional electron gasLden Hartog, S.G.; van Wees, B.J.; Klapwijk, T.M.; Nazarov, Yu.V.; Borghs, G.)uuid:8bcdddacbe5b488aa12231b9f3a7bc14Dhttp://resolver.tudelft.nl/uuid:8bcdddacbe5b488aa12231b9f3a7bc14LConductance fluctuations in a metallic wire interrupted by a tunnel junctionOvan Oudenaarden, A.; Devoret, M.H.; Visscher, E.H.; Nazarov, Yu.V.; Mooij, J.E.)uuid:85c1300d9feb402f986f49bd5b8bfbccDhttp://resolver.tudelft.nl/uuid:85c1300d9feb402f986f49bd5b8bfbccGiant Andreev backscattering through a quantum point contact coupled via a disordered twodimensional electron gas to superconductorsLDen Hartog, S.G.; van Wees, B.J.; Nazarov, Yu.V.; Klapwijk, T.M.; Borghs, G.)uuid:17f62580ec35493fb15eef105d3d0b9fDhttp://resolver.tudelft.nl/uuid:17f62580ec35493fb15eef105d3d0b9fdGiant higher harmonic generation in mesoscopic metal wires and rings interrupted by tunnel junctions0Van Oudenaarden, A.; Nazarov, Yu.V.; Mooij, J.E.)uuid:8e84ccf43725410faf42c554781694afDhttp://resolver.tudelft.nl/uuid:8e84ccf43725410faf42c554781694af9Density of states and the energy gap in Andreev billiardsLodder, A.; Nazarov, Yu.V.)uuid:7b281d4cb522439f959fe341f5b3399fDhttp://resolver.tudelft.nl/uuid:7b281d4cb522439f959fe341f5b3399f<Current drag in capacitively coupled luttinger constrictionsNazarov, Y.V.; Averin, D.V.)uuid:3d4e2089bcbd430cac1095edd029416eDhttp://resolver.tudelft.nl/uuid:3d4e2089bcbd430cac1095edd029416e4Changes in the magnetization of a double quantum dotfOosterkamp, T.H.; Godijn, S.F.; Uilenreef, M.J.; Nazarov, Y.V.; van der Vaart, N.C.; Kouwenhoven, L.P.)uuid:78498ed52fa9491286d73486916fb8c1Dhttp://resolver.tudelft.nl/uuid:78498ed52fa9491286d73486916fb8c10Quantum phase transition in the skyrmion latticeNazarov, Yu.V.; Khaetskii, A.V.)uuid:d8a1e443cfab41cfa9e9394ffa6f31d1Dhttp://resolver.tudelft.nl/uuid:d8a1e443cfab41cfa9e9394ffa6f31d1HSuppression of the kondo effect in a quantum dot by external irradiation+Kaminski, A.; Nazarov, Yu.V.; Glazman, L.I.)uuid:c4b8a3018f824ce7afa911585ebeeda3Dhttp://resolver.tudelft.nl/uuid:c4b8a3018f824c< e7afa911585ebeeda3(Skyrmions in disordered heterostructuresNederveen, A.J.; Nazarov, Y.V.)uuid:9a11add5535e4a0ea86948b4a185279fDhttp://resolver.tudelft.nl/uuid:9a11add5535e4a0ea86948b4a185279f,Coulomb drag in intermediate magnetic fieldsKhaetskii, A.V.; Nazarov, Y.V.)uuid:800e3cdd33c24490838af34c8ebb5b5dDhttp://resolver.tudelft.nl/uuid:800e3cdd33c24490838af34c8ebb5b5d8Resonant tunneling through linear arrays of quantum dotsWegewijs, M.R.; Nazarov, Yu.V.)uuid:a42b58b3049a4e4da0bfb1e855d00cbcDhttp://resolver.tudelft.nl/uuid:a42b58b3049a4e4da0bfb1e855d00cbc)Coulomb blockade without tunnel junctions)uuid:de8325e0659a490c99d37bc58de1943dDhttp://resolver.tudelft.nl/uuid:de8325e0659a490c99d37bc58de1943dASpin accumulation in small ferromagnetic doublebarrier junctions5Brataas, A.; Nazarov, Yu.V.; Inoue, J.; Bauer, G.E.W.)uuid:b4482575a3f14b20a16144ad269834a3Dhttp://resolver.tudelft.nl/uuid:b4482575a3f14b20a16144ad269834a3LEnhancement of kondo effect in quantum dots with an even number of electronsEto, M.; Nazarov, Y.V.)uuid:1433a72a63a24f029d438ee85e6e044aDhttp://resolver.tudelft.nl/uuid:1433a72a63a24f029d438ee85e6e044aFFiniteelement theory of transport in ferromagnetnormal metal systems*Brataas, A.; Nazarov, Yu.V.; Bauer, G.E.W.)uuid:4f8b3e4508ce4558b50232f246490571Dhttp://resolver.tudelft.nl/uuid:4f8b3e4508ce4558b50232f246490571DUniversality of the Kondo effect in a quantum dot out of equilibrium)uuid:1375b09ed7b34ed385f3fb8c98766f62Dhttp://resolver.tudelft.nl/uuid:1375b09ed7b34ed385f3fb8c98766f62Spin relaxation in semiconductor quantum dots)uuid:3aa2cc8ef6434a73a8815dc030935becDhttp://resolver.tudelft.nl/uuid:3aa2cc8ef6434a73a8815dc030935becfConductance modulation by spin precession in noncollinear ferromagnet normalmetal ferromagnet systems@Huertas Hernando, D.; Nazarov, Yu.V.; Brataas, A.; Bauer, G.E.W.)uuid:82f5364dc2ae4079a82a01d2fbd1f654Dhttp://resolver.tudelft.nl/uuid:82f5364dc2ae4079a82a01d2fbd1f654KSpin accumulation and Andreev reflection in a mesoscopic ferromagnetic wire6Belzig, W.; Brataas, A.; Nazarov, Yu.V.; Bauer, G.E.W.)uuid:5d538e786594444aa9ddd8df1796cfe3Dhttp://resolver.tudelft.nl/uuid:5d538e786594444aa9ddd8df1796cfe3KSpinaccumulation and Andreevreflection in a mesoscopic ferromagnetic wire(Belzig, W.; Nazarov, Y.V.; Bauer, G.E.W.FThe electron transport though ferromagnetic metalsuperconducting hybrid devices is considered in the nonequilibrium Green's function formalism in the quasiclassical approximation. Attention if focused on the limit in which the exchange splitting in the ferromagnet is much larger than the superconducting energy gap. Transport properties are then governed by an interplay between spinaccumulation close to the interface and Andreev reflection at the interface. We find that the resistance can either be enhanced or lowered in comparison to the normal case and can have a nonmonotonic temperature and voltage dependence. In the nonlinear voltage regime electron heating effects may govern the transport properties, leading to qualitative different behaviour than in the absence of heating effects. Recent experimental results on the effect of the superconductor on the conductance of the ferromagnet can be understood by our results for the energydependent interface resistance together with effects of spin accumulation without invoking long range pairing correlations in the ferromagnetSuperconductivityIOP Publishing)uuid:39548eb1f2504ea684cd399339e047c6Dhttp://resolver.tudelft.nl/uuid:39548eb1f2504ea684cd399339e047c6;Nucleusmediated spinflip transitions in GaAs quantum dotsErlingsson, S.I.; Nazarov, Y.V.; Fal'ko, V.I.)uuid:520d739629e8430fa2db8d1c991b7897Dhttp://resolver.tudelft.nl/uuid:520d739629e8430fa2db8d1c991b7897;Oscillations of Andreev states in clean ferromagnetic films'Zareyan, M.; Belzig, W.; Nazarov, Yu.V.)uuid:27fda23d3eda4e789ad73897f51d454fDhttp://resolver.tudelft.nl/uuid:27fda23d3eda4e789ad73897f51d454fEFull current statistics in diff< usive normalsuperconductor structuresBelzig, W.; Nazarov, Yu.V.)uuid:6624ae01878a4cbcac69152103a61194Dhttp://resolver.tudelft.nl/uuid:6624ae01878a4cbcac69152103a61194EFull counting statistics of electron transfer between superconductors)uuid:745e6817c2ee44cbb9e525ec769d64e5Dhttp://resolver.tudelft.nl/uuid:745e6817c2ee44cbb9e525ec769d64e5CCoherent and incoherent pumping of electrons in double quantum dots;Hazelzet, B.L.; Wegewijs, M.R.; Stoof, T.H.; Nazarov, Yu.V.)uuid:c2f6096f1c9449e8a7c84e353efd979bDhttp://resolver.tudelft.nl/uuid:c2f6096f1c9449e8a7c84e353efd979bVMeanfield theory of the Kondo effect in quantum dots with an even number of electrons)uuid:38e4541b790a4eed9631a910a55dbaa5Dhttp://resolver.tudelft.nl/uuid:38e4541b790a4eed9631a910a55dbaa5LSpinflip transitions between Zeeman sublevels in semiconductor quantum dots)uuid:3da9dc38759a422d80722bd99608fef4Dhttp://resolver.tudelft.nl/uuid:3da9dc38759a422d80722bd99608fef45Negative magnetoresistance in Andreev interferometers>Belzig, W.; Shaikhaidarov, R.; Petrashov, V.V.; Nazarov, Yu.V.)uuid:a8c49cc0f3c04f508b156420e19a5651Dhttp://resolver.tudelft.nl/uuid:a8c49cc0f3c04f508b156420e19a5651KManipulation of photon statistics of highly degenerate incoherent radiation1Kindermann, M.; Nazarov, Yu.V.; Beenakker, C.W.J.)uuid:24ae8ed55de0462eb2089de4a4b11d8cDhttp://resolver.tudelft.nl/uuid:24ae8ed55de0462eb2089de4a4b11d8crHyperfinemediated transitions between a Zeeman split doublet in GaAs quantum dots: The role of the internal fieldErlingsson, S.I.; Nazarov, Y.V.)uuid:21f5b927eba5473b9dd393c44b56db26Dhttp://resolver.tudelft.nl/uuid:21f5b927eba5473b9dd393c44b56db26[Multiparameter scaling of the Kondo effect in quantum dots with an even number of electrons)uuid:4e9cbc156e4649caa3910a3006daa969Dhttp://resolver.tudelft.nl/uuid:4e9cbc156e4649caa3910a3006daa969>Superconducting proximity effect in clean ferromagnetic layers)uuid:4e9c1a191a8c4b849f77eb091bf2e5baDhttp://resolver.tudelft.nl/uuid:4e9c1a191a8c4b849f77eb091bf2e5baDAbsolute spinvalve effect with superconducting proximity structures0HuertasHernando, D.; Nazarov, Yu.V.; Belzig, W.)uuid:1427a31e2d4045fabfc65a66b1ed6d39Dhttp://resolver.tudelft.nl/uuid:1427a31e2d4045fabfc65a66b1ed6d39ECircuit theory for full counting statistics in multiterminal circuitsNazarov, Yu.V.; Bagrets, D.A.)uuid:69999c89a21945c199be9cc2ab5f6d8aDhttp://resolver.tudelft.nl/uuid:69999c89a21945c199be9cc2ab5f6d8a7Phase Sensitive Shot Noise in an Andreev InterferometerJReulet, B.; Kozhevnikov, A.A.; Prober, D.E.; W. Belzig, W.; Nazarov, Yu.V.American Physcial Society)uuid:751929e3da614713a29c390054cd109bDhttp://resolver.tudelft.nl/uuid:751929e3da614713a29c390054cd109bLInteraction Effects on Counting Statistics and the Transmission DistributionKindermann, M.; Nazarov, Yu.V.)uuid:dfb23583f80f4dd8849afc1e68feb790Dhttp://resolver.tudelft.nl/uuid:dfb23583f80f4dd8849afc1e68feb790*Andreev Quantum Dots for Spin Manipulation$Chtchelkatchev, N.M.; Nazarov, Yu.V.)uuid:478180ed494a4285ab85cb09c6a32526Dhttp://resolver.tudelft.nl/uuid:478180ed494a4285ab85cb09c6a32526JEnhanced Shot Noise in Resonant Tunneling via Interacting Localized StatesSafonov, S.S.; Savchenko, A.K.; Safonov, S.S.; Savchenko, A.K.; Bagrets, D.A.; Jouravlev, O.N.; Nazarov, Y.V.; Linfield, E.H.; Ritchie, D.A.)uuid:32c91f9a30264937b223f0f9dfa37613Dhttp://resolver.tudelft.nl/uuid:32c91f9a30264937b223f0f9dfa37613GFull counting statistics of charge transfer in Coulomb blockade systemsBagrets, D.A.; Nazarov, Yu.V.)uuid:5fec98a573694dc6a43b78080f8d7c51Dhttp://resolver.tudelft.nl/uuid:5fec98a573694dc6a43b78080f8d7c519Circuit Theory of Unconventional Superconductor Junctions)Tanaka, Y.; Nazarov, Yu.V.; Kashiwaya, S.)uuid:eafa3d9bb1a247848899d864ce9e5661Dhttp://resolver.tudelft.nl/uuid:eafa3d9bb1a247848899d864ce9e56617TemperatureDependent Third Cumulant of Tunneling Noise1Beenakker, C.W.J.; Kindermann, M.; Nazarov, Yu.V.)uuid:1915d08f6d54< 4e3fac5fdc35beaac727Dhttp://resolver.tudelft.nl/uuid:1915d08f6d544e3fac5fdc35beaac727EResonant Tunneling of Interacting Electrons in a OneDimensional WireNazarov, Yu.V.; Glazman, L.I.)uuid:9abb7146cf01469eb1a62d304ddd8736Dhttp://resolver.tudelft.nl/uuid:9abb7146cf01469eb1a62d304ddd8736BDistribution of Voltage Fluctuations in a CurrentBiased Conductor)uuid:aeba6b64bc77418d815556e2c71e9fa1Dhttp://resolver.tudelft.nl/uuid:aeba6b64bc77418d815556e2c71e9fa1KElectromagnetic AharonovBohm effect in a twodimensional electron gas ringvan der Wiel, W.G.; Nazarov, Yu.V.; De Franceschi, S.; Fujisawa, T.; Elzerman, J.M.; Huizeling, E.W.G.M.; Tarucha, S.; Kouwenhoven, L.P.)uuid:a0601ceb448e4468b9bf8c6962947838Dhttp://resolver.tudelft.nl/uuid:a0601ceb448e4468b9bf8c6962947838Erratum: Theory of charge transport in diffusive normal metal/unconventional singlet superconductor contacts [Phys. Rev. B 69, 144519 (2004)]8Tanaka, Y.; Nazarov, Yu.V.; Golubov, A.A.; Kashiwaya, S.)uuid:084b48be162a43ad95659c54163ab5f9Dhttp://resolver.tudelft.nl/uuid:084b48be162a43ad95659c54163ab5f9bFeedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium)uuid:2d4865f0cbbe4d88bfa02274aadec92aDhttp://resolver.tudelft.nl/uuid:2d4865f0cbbe4d88bfa02274aadec92aGJosephson Junctions as Threshold Detectors for Full Counting StatisticsTobiska, J.; Nazarov, Yu.U.)uuid:41d0ab6acff3442a8e81eca421462568Dhttp://resolver.tudelft.nl/uuid:41d0ab6acff3442a8e81eca421462568MStatistics of transmission eigenvalues for a disordered quantum point contact?Campagnano, G.; Jouravlev, O.N.; Blanter, Ya.M.; Nazarov, Yu.V.)uuid:eb67a1b61ec24d0ab343cb71cb414298Dhttp://resolver.tudelft.nl/uuid:eb67a1b61ec24d0ab343cb71cb4142981Full counting statistics of Cooper pair shuttlingRomito, A.; Nazarov, Yu.V.)uuid:b101b128b2364d3bac451751bb40f2beDhttp://resolver.tudelft.nl/uuid:b101b128b2364d3bac451751bb40f2be>Andreev Reflection Eigenvalue Density in Mesoscopic Conductors*Samuelsson, P.; Belzig, W.; Nazarov, Yu.V.)uuid:1e24afc9eb584261921852588da79d2fDhttp://resolver.tudelft.nl/uuid:1e24afc9eb584261921852588da79d2fcTheory of charge transport in diffusive normal metal/unconventional singlet superconductor contacts>Tanaka, Y.; Nazarov, Yu.V.; A. A. Golubov, A.A.; Kashiwaya, S.)uuid:c7fee042c3e04abd821fa35bdd015f74Dhttp://resolver.tudelft.nl/uuid:c7fee042c3e04abd821fa35bdd015f74)Full Counting Statistics of Spin CurrentsDi Lorenzo, A.; Nazarov, Y.V)uuid:a1777a512f874b50b45ba082c5062b8dDhttp://resolver.tudelft.nl/uuid:a1777a512f874b50b45ba082c5062b8dBEvolution of localized electron spin in a nuclear spin environment)uuid:d8382a624e1a40cf94fbae5ddaab397bDhttp://resolver.tudelft.nl/uuid:d8382a624e1a40cf94fbae5ddaab397b<Towards experimental observation of full counting statisticsNazarov, Y.V.; Tobiska, J.We discuss how threshold detectors can be used for a direct measurement of the full counting statistics (FCS) of current fluctuations and how to implement Josephson junctions in this respect. We propose a scheme to characterize the full counting statistics from the current dependence of the escape rate measured. We illustrate the scheme with explicit results for tunnel, diffusive and quasiballistic mesoscopic conductors.:full counting statistics; quantum noise; Josephson juntionconference paperSPIE)uuid:bf5e8142b6b84c05a877f7e1b4403cc2Dhttp://resolver.tudelft.nl/uuid:bf5e8142b6b84c05a877f7e1b4403cc2AFull current statistics in the regime of weak coulomb interaction)uuid:b1d8df2702a04fcfacede3a6bca10f2cDhttp://resolver.tudelft.nl/uuid:b1d8df2702a04fcfacede3a6bca10f2c5Coherent oscillations of current due to nuclear spins0Erlingsson, S.I.; Jouravlev, O.N.; Nazarov, Y.V.)uuid:c1935fe435dd4e23930de4e7c20cbb5fDhttp://resolver.tudelft.nl/uuid:c1935fe435dd4e23930de4e7c20cbb5fLFull counting statistics with spinSensitive detectors reveals spin singletsLorenzo, A.D.; Nazarov, Y.V.)uuid:0f65714bfa554bc0864f70118111d8ddDhttp:< //resolver.tudelft.nl/uuid:0f65714bfa554bc0864f70118111d8ddkInelastic interaction corrections and universal relations for full counting statistics in a quantum contactTobiska, J.; Nazarov, Yu.V.)uuid:3f5dc8931a6f461f81593f2ab822401aDhttp://resolver.tudelft.nl/uuid:3f5dc8931a6f461f81593f2ab822401a*Proximity effect gaps in S/N/FI structures#HuertasHernando, D.; Nazarov, Y.V.We study the proximity effect in hybrid structures consisting of superconductor and ferromagnetic insulator separated by a normal diffusive metal (S/N/FI structures). These stuctures were proposed to realize the absolute spinvalve effect. We pay special attention to the gaps in the density of states of the normal part. We show that the effect of the ferromagnet is twofold: It not only shifts the density of states but also provides suppression of the gap. The mechanism of this suppression is remarkably similar to that due to magnetic impurities. Our results are obtained from the solution of onedimensional Usadel equation supplemented with boundary conditions for matrix current at both interfaces.EDP sciences  Springerkavli institute of nanoscience)uuid:67af87d7112d4e438fa3d8b89467ebf3Dhttp://resolver.tudelft.nl/uuid:67af87d7112d4e438fa3d8b89467ebf3DQuantum tunneling detection of twophoton and twoelectron processes2Tobiska, J.; Danon, J.; Snyman, I.; Nazarov, Yu.V.)uuid:d4cef79eeefc412e87b70873c0b03756Dhttp://resolver.tudelft.nl/uuid:d4cef79eeefc412e87b70873c0b03756OElectron transport in a double quantum dot governed by a nuclear magnetic fieldJouravlev, O.N.; Nazarov, Y.V.)uuid:88854ecc6a0645f094b685c8fb1d1249Dhttp://resolver.tudelft.nl/uuid:88854ecc6a0645f094b685c8fb1d1249;Using a quantum dot as a highfrequency shot noise detectorZOnac, E.; Balestro, F.; vanBeveren, L.H.W.; Hartmann, U.; Nazarov, Y.V.; Kouwenhoven, L.P.$Kavli Institute of Nanoscience Delft)uuid:1e5394c3ab524ec0bf16371a248667eaDhttp://resolver.tudelft.nl/uuid:1e5394c3ab524ec0bf16371a248667eaKFull counting statistics of noncommuting variables: The case of spin countsDi Lorenzo, A.; Campagnano, G.; Nazarov, Y.V.)uuid:d1490d897ccc455b9dfca08ec5375db6Dhttp://resolver.tudelft.nl/uuid:d1490d897ccc455b9dfca08ec5375db69GQ corrections in the circuit theory of quantum transportCampagnano, G.; Nazarov, Y.V.TWe develop a finiteelement technique that allows one to evaluate correction of the order of GQ to various transport characteristics of arbitrary nanostructures. Common examples of such corrections are the weaklocalization effect on conductance and universal conductance fluctuations. Our approach, however, is not restricted to conductance only. It allows one in the same manner to evaluate corrections to the noise characteristics, superconducting properties, strongly nonequilibrium transport, and transmission distribution. To enable such functionality, we consider Green s functions of arbitrary matrix structure. We derive a finiteelement technique from Cooperon and diffuson ladders for these Green s functions. The derivation is supplemented with application examples. Those include transitions between ensembles and the AharonovBohm effect.)uuid:dff90e99c00247f1bde3acd380dd24dfDhttp://resolver.tudelft.nl/uuid:dff90e99c00247f1bde3acd380dd24df,Nuclear Spin Effect in a Metallic Spin ValveWe study electronic transport through a ferromagnet normalmetal ferromagnet system and we investigate the effect of hyperfine interaction between electrons and nuclei in the normalmetal part. A switching of the magnetization directions of the ferromagnets causes nuclear spins to precess. We show that the effect of this precession on the current through the system is large enough to be observed in experiment.)uuid:e65c19de65f3467cbbd01f3fbf3c86d0Dhttp://resolver.tudelft.nl/uuid:e65c19de65f3467cbbd01f3fbf3c86d0(Mesoscopic fluctuations of spin currentsIOP)uuid:0d83b70be7a34c7ba04d2cc24c722294Dhttp://resolver.tudelft.nl/uuid:0d83b70be7a34c7ba04d2cc24c722294PElementary Events of Electron Transfer in a VoltageDriven Quant< um Point Contact&Vanevic, M.; Nazarov, Y.V.; Belzig, W.American Physical review)uuid:966009dd45cf4f72bf2c5291234adc1eDhttp://resolver.tudelft.nl/uuid:966009dd45cf4f72bf2c5291234adc1e(Fully developed triplet proximity effectBraude, V.; Nazarov, Y.V.)uuid:de4e4eeb4c924070809477566d059f80Dhttp://resolver.tudelft.nl/uuid:de4e4eeb4c924070809477566d059f80BStrong feedback and current noise in nanoelectromechanical systems(Usmani, O.; Blanter, Y.M.; Nazarov, Y.V.)uuid:9a0cdab969f143faa414efc4b19019b6Dhttp://resolver.tudelft.nl/uuid:9a0cdab969f143faa414efc4b19019b6YPolarization of a Charge Qubit Strongly Coupled to a VoltageDriven Quantum Point ContactSnyman, I.; Nazarov, Y.V.)uuid:f7aff0f747914594bc8e1c7b30f095f3Dhttp://resolver.tudelft.nl/uuid:f7aff0f747914594bc8e1c7b30f095f3VOverscreening diamagnetism in cylindrical superconductornormal metalheterostructures%Belzig, W.; Bruder, C.; Nazarov, Y.V.Springer)uuid:b6cd70b8e8af460882cea63fb92c7061Dhttp://resolver.tudelft.nl/uuid:b6cd70b8e8af460882cea63fb92c7061fNuclear Tuning and Detuning of the Electron Spin Resonance in a Quantum Dot: Theoretical ConsiderationWe study nuclear spin dynamics in a quantum dot close to the conditions of electron spin resonance. We show that at a small frequency mismatch, the nuclear field detunes the resonance. Remarkably, at larger frequency mismatch, its effect is opposite: The nuclear system is bistable, and in one of the stable states, the field accurately tunes the electron spin splitting to resonance. In this state, the nuclear field fluctuations are strongly suppressed, and nuclear spin relaxation is accelerated.)uuid:2fd1bc8971ce433197c1cc1bdf719d51Dhttp://resolver.tudelft.nl/uuid:2fd1bc8971ce433197c1cc1bdf719d51:Keldysh action of a multiterminal timedependent scattererjWe present a derivation of the Keldysh action of a general multichannel timedependent scatterer in the context of the Landauer Bttiker approach. The action is a convenient building block in the theory of quantum transport. This action is shown to take a compact form that only involves the scattering matrix and reservoir Green s functions. We derive two special cases of the general result, one valid when reservoirs are characterized by welldefined filling factors, the other when the scatterer connects two reservoirs. We illustrate its use by considering full counting statistics and the Fermiedge singularity.3electron transport theory; Green's function methods)uuid:a6e8fbb6c7a24e0fb72c91532ec42169Dhttp://resolver.tudelft.nl/uuid:a6e8fbb6c7a24e0fb72c91532ec42169cStatistics of measurement of noncommuting quantum variables: Monitoring and purification of a qubitWei, H.; Nazarov, Y.V.We address continuous weak linear quantum measurement and argue that it is best understood in terms of statistics of the outcomes of the linear detectors measuring a quantum system, for example, a qubit. We mostly concentrate on a setup consisting of a qubit and three independent detectors that simultaneously monitor three noncommuting operator variables, those corresponding to three pseudospin components of the qubit. We address the joint probability distribution of the detector outcomes and the qubit variables. When analyzing the distribution in the limit of big values of the outcomes, we reveal a high degree of correspondence between the three outcomes and three components of the qubit pseudospin after the measurement. This enables a highfidelity monitoring of all three components. We discuss the relation between the monitoring described and the algorithms of quantum information theory that use the results of the partial measurement. We develop a proper formalism to evaluate the statistics of continuous weak linear measurement. The formalism is based on FeynmanVernon approach, roots in the theory of full counting statistics, and boils down to a BlochRedfield equation augmented with counting fields.<quantum computing; quantum theory; statistical distributions)uuid:bc75f2e2a26840e0911e80fb1fe808bcDhttp://resolver.tudelft.nl/u< uid:bc75f2e2a26840e0911e80fb1fe808bc=Elementary chargetransfer processes in mesoscopic conductors&Vanevi?, M.; Nazarov, Y.V.; Belzig, W._We determine chargetransfer statistics in a quantum conductor driven by a timedependent voltage and identify the elementary transport processes. At zero temperature unidirectional and bidirectional singlecharge transfers occur. The unidirectional processes involve electrons injected from the source terminal due to excess dc bias voltage. The bidirectional processes involve electronhole pairs created by timedependent voltage bias. This interpretation is further supported by the chargetransfer statistics in a multiterminal beamsplitter geometry in which injected electrons and holes can be partitioned into different outgoing terminals. The probabilities of elementary processes can be probed by noise measurements: the unidirectional processes set the dc noise level, while bidirectional ones give rise to the excess noise. For ac voltage drive, the noise oscillates with increasing the driving amplitude. The decomposition of the noise into the contributions of elementary processes reveals the origin of these oscillations: the number of electronhole pairs generated per cycle increases with increasing the amplitude. The decomposition of the noise into elementary processes is studied for different timedependent voltages. The method we use is also suitable for systematic calculation of higherorder current correlators at finite temperature. We obtain current noise power and the third cumulant in the presence of timedependent voltage drive. The chargetransfer statistics at finite temperature can be interpreted in terms of multiplecharge transfers with probabilities which depend on energy and temperature.<charge exchange; charge injection; mesoscopic systems; noise)uuid:98260310f30341c4a8974daea2676e58Dhttp://resolver.tudelft.nl/uuid:98260310f30341c4a8974daea2676e58eBistability in voltagebiased normalmetal/insulator/superconductor/insulator/normalmetal structuresAs a generic example of a voltagedriven superconducting structure, we study a short superconductor connected to normal leads by means of low transparency tunnel junctions with a voltage bias V between the leads. The superconducting order parameter ? is to be determined selfconsistently. We study the stationary states as well as the dynamics after a perturbation. The system is an example of a dissipative driven nonlinear system. Such systems generically have stationary solutions that are multivalued functions of the system parameters. It was discovered several decades ago that superconductors outside equilibrium conform to this general rule in that the order parameter as a function of driving may be multivalued. The main difference between these previous studies and the present work is the different relaxation mechanisms involved. This does not change the fact that there can be several stationary states at a given voltage. It can however affect their stability as well as the dynamics after a perturbation. We find a region in parameter space where there are two stable stationary states at a given voltage. These bistable states are distinguished by distinct values of the superconducting order parameter and of the current between the leads. We have evaluated (1) the multivalued superconducting order parameter ? at given V, (2) the current between the leads at a given V, and (3) the critical voltage at which superconductivity in the island ceases. With regards to dynamics, we find numerical evidence that only the stationary states are stable and that no complicated nonstationary regime can be induced by changing the voltage. This result is somewhat unexpected and by no means trivial, given the fact that the system is driven out of equilibrium. The response to a change in the voltage is always gradual even in the regime where changing the interaction strength induces rapid anharmonic oscillations of the order parameter.)uuid:d4d20131e6e14ac8afc91e566a32e676Dhttp://resolver.tudelft.nl/uuid:d4d20131e6e14ac8afc91e566a32e6< 76OStatistics of Temperature Fluctuations in an Electron System out of EquilibriumHeikkil, T.T.; Nazarov, Y.V."We study the statistics of the fluctuating electron temperature in a metallic island coupled to reservoirs via resistive contacts and driven out of equilibrium by either a temperature or voltage difference between the reservoirs. The fluctuations of temperature are well defined provided that the energy relaxation rate inside the island exceeds the rate of energy exchange with the reservoirs. We quantify these fluctuations in the regime beyond the Gaussian approximation and elucidate their dependence on the nature of the electronic contacts.)uuid:b161887ecb764bccbf13124581e6efe7Dhttp://resolver.tudelft.nl/uuid:b161887ecb764bccbf13124581e6efe7<Multiple Nuclear Polarization States in a Double Quantum DotXDanon, J.; Vink, I.T.; Koppens, F.H.L.; Nowack, K.C.; Vandersypen, L.M.K.; Nazarov, Y.V.NWe observe multiple stable states of nuclear polarization and nuclear selftuning over a large range of fields in a double quantum dot under conditions of electron spin resonance. The observations can be understood within an elaborated theoretical rate equation model for the polarization in each of the dots, in the limit of strong driving. This model also captures unusual features of the data, such as fast switching and a wrong sign of polarization. The results reported enable applications of this polarization effect, including accurate manipulation and control of nuclear fields.Kavli Institute of NanoScience)uuid:5e52674a429f466da29a4ab2ebfa8590Dhttp://resolver.tudelft.nl/uuid:5e52674a429f466da29a4ab2ebfa8590RSpindependent boundary conditions for isotropic superconducting Green s functions;Cottet, A.; HuertasHernando, D.; Belzig, W.; Nazarov, Y.V.The quasiclassical theory of superconductivity provides the most successful description of diffusive heterostructures comprising superconducting elements, namely, the Usadel equations for isotropic Green s functions. Since the quasiclassical and isotropic approximations break down close to interfaces, the Usadel equations have to be supplemented with boundary conditions for isotropic Green s functions (BCIGF), which are not derivable within the quasiclassical description. For a long time, the BCIGF were available only for spindegenerate tunnel contacts, which posed a serious limitation on the applicability of the Usadel description to modern structures containing ferromagnetic elements. In this paper, we close this gap and derive spindependent BCIGF for a contact encompassing superconducting and ferromagnetic correlations. This finally justifies several simplified versions of the spindependent BCIGF, which have been used in the literature so far. In the general case, our BCIGF are valid as soon as the quasiclassical isotropic approximation can be performed. However, their use requires the knowledge of the full scattering matrix of the contact, an information usually not available for realistic interfaces. In the case of a weakly polarized tunnel interface, the BCIGF can be expressed in terms of a few parameters, i.e., the tunnel conductance of the interface and five conductancelike parameters accounting for the spin dependence of the interface scattering amplitudes. In the case of a contact with a ferromagnetic insulator, it is possible to find explicit BCIGF also for stronger polarizations. The BCIGF derived in this paper are sufficiently general to describe a variety of physical situations and may serve as a basis for modeling realistic nanostructures.)uuid:94583a93024243bb884f4b9521b890b6Dhttp://resolver.tudelft.nl/uuid:94583a93024243bb884f4b9521b890b6Josephson LightEmitting Diode,Recher, P.; Nazarov, Y.V.; Kouwenhoven, L.P.We consider an optical quantum dot where an electron level and a hole level are coupled to respective superconducting leads. We find that electrons and holes recombine producing photons at discrete energies as well as a continuous tail. Further, the spectral lines directly probe the induced superconducting correlations on the do< t. At energies close to the applied bias voltage eVsd, a parameter range exists, where radiation proceeds in pairwise emission of polarization correlated photons. At energies close to 2eVsd, emitted photons are associated with Cooper pair transfer and are reminiscent of Josephson radiation. We discuss how to probe the coherence of these photons in a SQUID geometry via singlephoton interference.)uuid:d4c4486563f345bd995d20769f8c4b9aDhttp://resolver.tudelft.nl/uuid:d4c4486563f345bd995d20769f8c4b9a4Theoretical proposal for superconducting spin qubitsPadurariu, C.; Nazarov, Y.V.#We propose and theoretically investigate superconducting spin qubits. Superconducting spin qubit consists of a single spin confined in a Josephson junction. We show that owing to spinorbit interaction, superconducting phase difference across the junction can polarize this spin. We demonstrate that this enables singlequbit operations and more complicated quantum gates, where spins of different qubits interact via a mutual inductance of the superconducting loop where the junctions are embedded. Recent experimental realizations of Josephson junctions made of semiconductor quantum dots in contact with superconducting leads have shown that the number of electrons in the quantum dot can be tuned by a gate voltage. Superconducting spin qubit is realized when the number of electrons is odd. We discuss the qubit properties at phenomenological level. We present a microscopic theory that enables us to make accurate estimations of the qubit parameters by evaluating the spindependent Josephson energy in the framework of fourthorder perturbation theory.)uuid:f05b5f18d6904e28abc8e5555772571dDhttp://resolver.tudelft.nl/uuid:f05b5f18d6904e28abc8e5555772571d+Fully Overheated SingleElectron Transistor+Laakso, M.A.; Heikkil, T.T.; Nazarov, Y.V.We consider the fully overheated singleelectron transistor, where the heat balance is determined entirely by electron transfers. We find three distinct transport regimes corresponding to cotunneling, singleelectron tunneling, and a competition between the two. We find an anomalous sensitivity to temperature fluctuations at the crossover between the two latter regimes that manifests in an exceptionally large Fano factor of current noise.)uuid:fc08f7e251f3492a9733283be98c69b3Dhttp://resolver.tudelft.nl/uuid:fc08f7e251f3492a9733283be98c69b3SDisentangling the effects of spinorbit and hyperfine interactions on spin blockadeNadjPerge, S.; Frolov, S.M.; Van Tilburg, J.W.W.; Danon, J.; Nazarov, Y.V.; Algra, R.; Bakkers, E.P.A.M.; Kouwenhoven, L.P.iWe have achieved the fewelectron regime in InAs nanowire double quantum dots. Spin blockade is observed for the first two halffilled orbitals, where the transport cycle is interrupted by forbidden transitions between triplet and singlet states. Partial lifting of spin blockade is explained by spinorbit and hyperfine mechanisms that enable triplet to singlet transitions. The measurements over a wide range of interdot coupling and tunneling rates to the leads are well reproduced by a simple transport model. This allows us to separate and quantify the contributions of the spinorbit and hyperfine interactions.)uuid:f9b0e6a7a8af4f4f89e28ded4dd07ac9Dhttp://resolver.tudelft.nl/uuid:f9b0e6a7a8af4f4f89e28ded4dd07ac9FGiant current fluctuations in an overheated singleelectron transistorInterplay of cotunneling and singleelectron tunneling in a thermally isolated singleelectron transistor leads to peculiar overheating effects. In particular, there is an interesting crossover interval where the competition between cotunneling and singleelectron tunneling changes to the dominance of the latter. In this interval, the current exhibits anomalous sensitivity to the effective electron temperature of the transistor island and its fluctuations. We present a detailed study of the current and temperature fluctuations at this interesting point. The methods implemented allow for a complete characterization of the distribution of the fluctuating quantities, well beyond the< Gaussian approximation. We reveal and explore the parameter range where, for sufficiently small transistor islands, the current fluctuations become gigantic. In this regime, the optimal value of the current, its expectation value, and its standard deviation differ from each other by parametrically large factors. This situation is unique for transport in nanostructures and for electron transport in general. The origin of this spectacular effect is the exponential sensitivity of the current to the fluctuating effective temperature.)uuid:2467faae1a8440f6ac78278941b8e965Dhttp://resolver.tudelft.nl/uuid:2467faae1a8440f6ac78278941b8e965(Korn inequalities for a reinforced plate+Nazarov, S.A.; Slutskij, A.S.; Sweers, G.H.oAsymptotically optimal Korn inequalities are derived for a composite material that consists of two families of stiff rods surrounded by a homogeneous soft material. The composite plate is fixed through the protruding stiff rods only. The asymptotic behaviour is shown to be crucially different for families of connected rods and for those where the rods are isolated.1korn inequality; homogenisation; reinforced plate8Electrical Engineering, Mathematics and Computer Science&Delft Institute of Applied Mathematics)uuid:ee26a48b937543d2ac6a7eab0258d529Dhttp://resolver.tudelft.nl/uuid:ee26a48b937543d2ac6a7eab0258d529BSpectra of TwoDimensional Models for Thin Plates with Sharp Edges)Campbell, A.; Nazarov, S.A.; Sweers, G.H.We investigate the spectrum of the twodimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmon Douglis Nirenberg system on a planar domain with coefficients degenerating at the boundary. We prove that in the case of a degeneration rate $\alpha<2$, the spectrum is discrete, but, for $\alpha\geq2$, there appears a nontrivial essential spectrum. A first result for the degenerating scalar fourth order plate equation is due to Mikhlin. We also study the positive definiteness of the quadratic energy form and the necessity to impose stable boundary conditions. These results differ from the ones that Mikhlin published.Ythin plate; sharp edge; varying thickness; essential spectrum; stable boundary conditions.Society for Industrial and Applied Mathematics)uuid:05acb656d3374ed29366880ac2ef6910Dhttp://resolver.tudelft.nl/uuid:05acb656d3374ed29366880ac2ef6910kModel of a Proposed Superconducting Phase Slip Oscillator: A Method for Obtaining FewPhoton NonlinearitiesHriscu, A.M.; Nazarov, Y.V.[We theoretically investigate a driven oscillator with the superconducting inductance subject to quantum phase slips (QPS). We find uncommon nonlinearities in the proposed device: they oscillate as a function of the number of photons N with a local period of the order of ?N. We prove that such nonlinearities result in multiple metastable states encompassing few photons and study oscillatory dependence of various responses of the oscillator. Such nonlinearities enable new possibilities for quantum manipulation of photon states and very sensitive measurements to confirm the coherence of phase slips.QN/Quantum Nanoscience)uuid:8934dab30da44aa6abdbb413ae075b37Dhttp://resolver.tudelft.nl/uuid:8934dab30da44aa6abdbb413ae075b37DCoulomb blockade due to quantum phase slips illustrated with devicesTo illustrate the emergence of Coulomb blockade from coherent quantum phaseslip processes in thin superconducting wires, we propose and theoretically investigate two elementary setups, or devices. The setups are derived from the Cooperpair box and Cooperpair transistor, so we refer to them as the QPS box and QPS transistor, respectively. We demonstrate that the devices exhibit sensitivity to a charge induced by a gate electrode, this being the main signature of Coulomb blockade. Experimental realization of these devices will unambiguously prove the Coulomb blockade as an effect of coherence of phaseslip processes. We analyze the emergence of discrete charging in the limit of strong phase slips. We have found and investigated six distinct regimes that are realized < depending on the relation between three characteristic energy scales: inductive energy, charging energy, and phaseslip amplitude. For completeness, we include a brief discussion of dual Josephsonjunction devices.)uuid:00c2f03985d54a24a399670929dc3af3Dhttp://resolver.tudelft.nl/uuid:00c2f03985d54a24a399670929dc3af37Nuclear spin pumping and electron spin susceptibilities,In this work we present a new formalism to evaluate the nuclear spin dynamics driven by hyperfine interaction with nonequilibrium electron spins. To describe the dynamics up to second order in the hyperfine coupling it suffices to evaluate the susceptibility and fluctuations of the electron spin. Our approach does not rely on a separation of electronic energy scales or the specific choice of electronic basis states, thereby overcoming practical problems which may arise in certain limits when using a more traditional formalism based on rate equations.)uuid:74ab6f130c3e4abdabea946c6250c447Dhttp://resolver.tudelft.nl/uuid:74ab6f130c3e4abdabea946c6250c447MProposal for an Optical Laser Producing Light at Half the Josephson Frequency)Godschalk, F.; Hassler, F.; Nazarov, Y.V.We describe a superconducting device capable of producing laser light in the visible range at half of the Josephson generation frequency with the optical phase of the light locked to the superconducting phase difference. It consists of two singlelevel quantum dots embedded in a pn semiconducting heterostructure and surrounded by a cavity supporting a resonant optical mode. We study decoherence and spontaneous switching in the device.)uuid:102413858c654738a0de28b5e913b7ecDhttp://resolver.tudelft.nl/uuid:102413858c654738a0de28b5e913b7ecFlows of Rnyi entropiesWe demonstrate that the condensed matter quantum systems encompassing two reservoirs connected by a junction permit a natural definition of flows of conserved measures, i.e., Rnyi entropies. Such flows are similar to the flows of physical conserved quantities such as charge and energy. We develop a perturbation technique that permits efficient computation of Rnyi entropy flows and analyze second and fourthorder contributions. Secondorder approximation was shown to correspond directly to the transition events in the system and thereby to possess a set of intuitive features. The analysis of fourthorder corrections reveals a more complicated picture: The intuitive relations do not hold anymore, and the corrections exhibit divergencies in lowtemperature limit, manifesting an intriguing nonanalytical dependence of the flows on coupling strength in the limit of weak couplings and vanishing temperatures.)uuid:38dad7e47b1b48e5aff4e43d18230337Dhttp://resolver.tudelft.nl/uuid:38dad7e47b1b48e5aff4e43d18230337(Korn Inequalities for a Reinforced Plate1Korn inequality; homogenisation; reinforced plate)uuid:8e8c1c28413f4ecebe8b3b9da9f65e28Dhttp://resolver.tudelft.nl/uuid:8e8c1c28413f4ecebe8b3b9da9f65e28YManifestly NonGaussian Fluctuations in SuperconductorNormal Metal Tunnel NanostructureskWe propose a mesoscopic setup which exhibits strong and manifestly nonGaussian fluctuations of energy and temperature when suitably driven out of equilibrium. The setup consists of a normal metal island (N) coupled by tunnel junctions (I) to two superconducting leads (S), forming a SINIS structure, and is biased near the threshold voltage for quasiparticle tunneling, eV?2?. The fluctuations can be measured by monitoring the timedependent electric current through the system. This makes the setup suitable for the realization of feedback schemes which can be used to stabilize the temperature to the desired value.)uuid:a46a8d8271df45c69e3895a9e0684a9dDhttp://resolver.tudelft.nl/uuid:a46a8d8271df45c69e3895a9e0684a9d&Polarons in Suspended Carbon NanotubesWe prove theoretically the possibility of electricfield controlled polaron formation involving flexural (bending) modes in suspended carbon nanotubes. Upon increasing the field, the ground state of the system with a single extra electron undergoes a firstorder< phase transition between an extended state and a localized polaron state. For a common experimental setup, the threshold electric field is only of the order of ?5102??V/?m.)uuid:e40c147e1b354a0296eb90ed6ad57f53Dhttp://resolver.tudelft.nl/uuid:e40c147e1b354a0296eb90ed6ad57f53FQuantum Phase Slips in Superconducting Wires with Weak InhomogeneitiesVanevic, M.; Nazarov, Y.V.Quantum phase slips are traditionally considered in diffusive superconducting wires which are assumed homogeneous. We present a definite estimate for the amplitude of phase slips that occur at a weak inhomogeneity in the wire where local resistivity is slightly increased. We model such a weak link as a general coherent conductor and show that the amplitude is dominated by the topological part of the action. We argue that such weak links occur naturally in apparently homogeneous wires and adjust the estimate to that case. The fabrication of an artificial weak link would localize phase slips and facilitate a better control of the phaseslip amplitude.)uuid:7c98178195a54ecb8abf2f532efea225Dhttp://resolver.tudelft.nl/uuid:7c98178195a54ecb8abf2f532efea225]Theory of temperature fluctuation statistics in superconductornormal metal tunnel structuresWe describe the statistics of temperature fluctuations in a SINIS structure, where a normal metal island (N) is coupled by tunnel junctions (I) to two superconducting leads (S). We specify conditions under which this structure exhibits manifestly nonGaussian fluctuations of temperature. We consider both the Gaussian and nonGaussian regimes of these fluctuations, and the current fluctuations that are caused by the fluctuating temperature. We also describe a measurement setup that could be used to observe the temperature fluctuations.)uuid:37cbc6ee51394965a4abbdf2fd9c4eb2Dhttp://resolver.tudelft.nl/uuid:37cbc6ee51394965a4abbdf2fd9c4eb2lAsymmetric currentphase relation due to spinorbit interaction in semiconductor nanowire Josephson junction$Yokoyama, T.; Eto, M.; Nazarov, Y.V.We theoretically study the currentphase relation in semiconductor nanowire Josephson junction in the presence of spinorbit interaction. In the nanowire, the impurity scattering with strong SO interaction is taken into account using the random matrix theory. In the absence of magnetic field, the Josephson current I and phase difference ? between the superconductors satisfy the relation of I(?) = I( ?). In the presence of magnetic field along the nanowire, the interplay between the SO interaction and Zeeman effect breaks the currentphase relation of I(?) = I( ?). In this case, we show that the critical current depends on the current direction, which qualitatively agrees with recent experimental findings.Wspinorbit interaction; Josephson junction; semiconductor nanowire; Andreev bound stateAmerican Institute of Physics)uuid:917bd434da144f5ab7254d3fd9633516Dhttp://resolver.tudelft.nl/uuid:917bd434da144f5ab7254d3fd96335169Statistics of radiation at Josephson parametric resonance)Padurariu, C.; Hassler, F.; Nazarov, Y.V.Motivated by recent experiments, we study theoretically the full counting statistics of radiation emitted below the threshold of parametric resonance in a Josephsonjunction circuit. In contrast to most optical systems, a significant part of emitted radiation can be collected and converted to an output signal. This permits studying the correlations of the radiation. To quantify the correlations, we derive a closed expression for full counting statistics in the limit of long measurement times. We demonstrate that the statistics can be interpreted in terms of uncorrelated bursts, each encompassing 2N photons; this accounts for the bunching of the photon pairs produced in the course of the parametric resonance. We present the details of the burst rates. In addition, we study the time correlations within the bursts and discuss experimental signatures of the statistics deriving the frequencyresolved crosscorrelations.)uuid:08a45eee70bb4ba5a6f9b3b43f6bef67Dhttp://resolver.tudelft.nl/uuid:08a45< eee70bb4ba5a6f9b3b43f6bef67;Phenomenology and dynamics of a Majorana Josephson junctionhWe derive a generic phenomenological model of a Majorana Josephson junction that accounts for avoided crossing of Andreev states, and investigate its dynamics at constant bias voltage to reveal an unexpected pattern of an any? Josephson effect in the limit of slow decoherence: sharp peaks in noise not related to any definite fraction of Josephson frequency.)uuid:c1c0d49bf05a427e81d2a67f29b19657Dhttp://resolver.tudelft.nl/uuid:c1c0d49bf05a427e81d2a67f29b196574Effect of mechanical resonance on Josephson dynamics.Padurariu, C.; Keijzers, C.J.H.; Nazarov, Y.V.We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in dc electrical response of the junction. Such a system can be realized experimentally as a suspended ultraclean carbon nanotube brought in contact with two superconducting leads. A nearby gate electrode can be used to tune the junction parameters and to excite mechanical motion. We augment theoretical estimations with the values of setup parameters measured in one of the samples fabricated. We show that charging effects in the junction give rise to a mechanical force that depends on the superconducting phase difference and can excite the resonant mode. We develop a model that encompasses the coupling of electrical and mechanical dynamics. We compute the mechanical response (the effect of mechanical motion) in the regime of phase and dc voltage bias. We thoroughly investigate the regime of combined ac and dc bias where Shapiro steps are developed and reveal several distinct regimes characteristic for this effect. Our results can be immediately applied in the context of experimental detection of the mechanical motion in realistic superconducting nanomechanical devices.)uuid:2f402d0dc4f54c7680047acddba4c471Dhttp://resolver.tudelft.nl/uuid:2f402d0dc4f54c7680047acddba4c471H Smile Gap in the Density of States of a Cavity between Superconductors6Reutlinger, J.; Glazman, L.; Nazarov, Y.V.; Belzig, W.The density of Andreev levels in a normal metal (N) in contact with two superconductors (S) is known to exhibit an induced minigap related to the inverse dwell time. We predict a small secondary gap just below the superconducting gap edge a feature that has been overlooked so far in numerous microscopic studies of the density of states in S?N?S structures. In a generic structure with N being a chaotic cavity, the secondary gap is the widest at zero phase bias. It closes at some finite phase bias, forming the shape of a smile . Asymmetric couplings give even richer gap structures near the phase difference ?. All the features found should be amendable to experimental detection in highresolution lowtemperature tunneling spectroscopy.)uuid:25a8af6a559d447992c2dd68e689c02bDhttp://resolver.tudelft.nl/uuid:25a8af6a559d447992c2dd68e689c02bQuantum Synchronization of Conjugated Variables in a Superconducting Device Leads to the Fundamental Resistance QuantizationWe propose a way to achieve quantum synchronization of two canonically conjugated variables. For this, we employ a superconducting device where the synchronization of Josephson and Bloch oscillations results in the quantization of transresistance similar to that in the (fractional) quantum Hall effect. An LC oscillator is a key component to achieve an exponentially small rate of synchronization errors.)uuid:93fec2d150a04f7588667432c74dc214Dhttp://resolver.tudelft.nl/uuid:93fec2d150a04f7588667432c74dc214NLasing at half the Josephson frequency with exponentially long coherence timesGodschalk, F.; Nazarov, Y.V._We describe a superconducting device capable of producing laser light in the visible range at half the Josephson generation frequency, with the optical phase of the light locked to the superconducting phase difference. An earlier proposed device, the socalled halfJosephson laser [ Phys. Rev. Lett. 107 073901 (2011)], cannot provide long coherence times, because of spo< ntaneous switchings between the emitter states. To circumvent this we consider N?1 emitters driving an optical resonator mode. We derive a general model that captures essential physics of such devices while not depending on specific microscopic details. We find the conditions under which the coherence times are exponentially long, thus surpassing the fundamental limitation on the coherence times of common lasers. For this we study the noise in the device. In particular, we are interested in the rate of large fluctuations of the light field in the limit where the typical fluctuations are small. The large fluctuations are responsible for switching of the laser between stable states of radiation and therefore determine the coherence time.)uuid:ccc416a83aba4bcab9617a3d9d7e4eb2Dhttp://resolver.tudelft.nl/uuid:ccc416a83aba4bcab9617a3d9d7e4eb2=Two types of topological transitions in finite Majorana wiresPikulin, D.; Nazarov, Y.V.FMotivated by the recent advances in studying Majorana states in nanowires under conditions of the superconducting proximity effect, we address the correspondence between the common topological transition in an infinite system and a topological transition of another type that manifests itself in the positions of the poles of the scattering matrices. We establish a universal dependence of the pole positions in the vicinity of the common transition on the parameter controlling the transition, and discuss the manifestations of the pole transitions in the differential conductance.)uuid:416f76ba3b024a90b26303da1be086e7Dhttp://resolver.tudelft.nl/uuid:416f76ba3b024a90b26303da1be086e7*Lightsuperconducting interference devices_Recently, we have proposed the halfJosephson laser (HJL): a device that combines lasing with superconducting leads, providing a locking between the optical phase and the superconducting phase difference between the leads. In this work, we propose and investigate two setups derived from a superconducting quantum interference device (SQUID), where two conventional Josephson junctions are replaced by two HJLs. In the first setup, the HJLs share the same resonant mode, while in the second setup two separate resonant modes of the two lasers are coupled optically. We dub the setup lightsuperconducting interference device (LSID). In both setups, we find the operating regimes similar to those of a single HJL. Importantly, the steady lasing field is significantly affected by the magnetic flux penetrating the SQUID loop, with respect to both amplitude and phase. This provides opportunities to tune or even quench the lasing by varying a small magnetic field. For the second setup, we find a parameter range where the evolution equation for the laser fields supports periodic cycles. The fields are thus modulated with the frequency of the cycle resulting in an emission spectrum consisting of a set of discrete modes. From this spectrum, two modes dominate in the limit of strong optical coupling. Therefore, the LSID can be also used to generate such modulated light.)uuid:c6cce85e106e4ec8894f02da9533fd9eDhttp://resolver.tudelft.nl/uuid:c6cce85e106e4ec8894f02da9533fd9eiAnomalous Josephson effect induced by spinorbit interaction and Zeeman effect in semiconductor nanowiresWe investigate theoretically the Josephson junction of semiconductor nanowire with strong spinorbit (SO) interaction in the presence of magnetic field. By using a tightbinding model, the energy levels En of Andreev bound states are numerically calculated as a function of phase difference ? between two superconductors in the case of short junctions. The dc Josephson current is evaluated from the Andreev levels. In the absence of SO interaction, a 0? transition due to the magnetic field is clearly observed. In the presence of SO interaction, the coexistence of SO interaction and Zeeman effect results in En(??)?En(?), where the anomalous Josephson current flows even at ?=0. In addition, the direction dependence of critical current is observed, in accordance with experimental results.)uuid:accf092eb6d54baea5c005ed< 687bd59aDhttp://resolver.tudelft.nl/uuid:accf092eb6d54baea5c005ed687bd59arSecondary smile gap in the density of states of a diffusive Josephson junction for a wide range of contact types%The superconducting proximity effect leads to strong modifications of the local density of states in diffusive or chaotic cavity Josephson junctions, which displays a phasedependent energy gap around the Fermi energy. The socalled minigap of the order of the Thouless energy ETh is related to the inverse dwell time in the diffusive region in the limit ETh??, where ? is the superconducting energy gap. In the opposite limit of a large Thouless energy ETh??, a small new feature has recently attracted attention, namely, the appearance of a further secondary gap, which is around two orders of magnitude smaller compared to the usual superconducting gap. It appears in a chaotic cavity just below the superconducting gap edge ? and vanishes for some value of the phase difference between the superconductors. We extend previous theory restricted to a normal cavity connected to two superconductors through ballistic contacts to a wider range of contact types. We show that the existence of the secondary gap is not limited to ballistic contacts, but is a more general property of such systems. Furthermore, we derive a criterion which directly relates the existence of a secondary gap to the presence of small transmission eigenvalues of the contacts. For generic continuous distributions of transmission eigenvalues of the contacts, no secondary gap exists, although we observe a singular behavior of the density of states at ?. Finally, we provide a simple onedimensional scattering model which is able to explain the characteristic smile shape of the secondary gap.)uuid:a1c006396cd84f84abc6d50a25dbb8b7Dhttp://resolver.tudelft.nl/uuid:a1c006396cd84f84abc6d50a25dbb8b7]Critical current semiconductor nanowire Josephson junctions in the presence of magnetic fieldWe study theoretically the critical current in semiconductor nanowire Josephson junction with strong spinorbit interaction. The critical current oscillates with an external magnetic field. We reveal that the oscillation of critical current depends on the orientation of magnetic field in the presence of spinorbit interaction. We perform a numerical simulation using a tightbinding model. The Andreev levels are calculated as a function of phase difference ? between two superconductors. The DC Josephson current is evaluated from the Andreev levels in the case of short junctions. The spinorbit interaction induces the effective magnetic field. When the external field is parallel with the effective one, the critical current oscillates accompanying the 0? like transition at the cusp of critical current. The distance of cusps increases gradually with increasing of the angle between the external and effective fields. The magnetic anisotropy of critical current is attributed to the spin precession due to the spinorbit interaction.Aerospace Engineering&Aerodynamics, Wind Energy & Propulsion)uuid:1a30a9f670a44e9d868c68385eb55f90Dhttp://resolver.tudelft.nl/uuid:1a30a9f670a44e9d868c68385eb55f90Rnyi entropy flows from quantum heat enginesAnsari, M.H.; Nazarov, Y.V.We evaluate Rnyi entropy flows from generic quantum heat engines (QHE) to a weakly coupled probe environment kept in thermal equilibrium. We show that the flows are determined not only by heat flow but also by a quantum coherent flow that can be separately measured in experiment apart from the heat flow measurement. The same pertains to Shannon entropy flow. This appeals for a revision of the concept of entropy flows in quantum nonequlibrium thermodynamics.)uuid:4b968b3618ea4ef99076846efd851748Dhttp://resolver.tudelft.nl/uuid:4b968b3618ea4ef99076846efd851748DStrong effects of weak ac driving in short superconducting junctions3Riwar, R.P.; Houzet, M.; Meyer, J.S.; Nazarov, Y.V.We study a short multichannel superconducting junction subject to dc and ac phase biases. The ac modulation changes the occupation of the Andreev b< ound states formed at the constriction by transitions between bound states and the continuum. In a short junction, the nonequilibrium Andreev boundstate population may relax through processes that conserve parity of the occupation number on the same bound state and processes that do not conserve it. We argue that the parityconserving processes occur on a much faster time scale. In this case, even a weak driving may lead to a large nonequilibrium quasiparticle population scaling with the number of channels and results in a large deviation of the supercurrent from its equilibrium value. We show that this effect is accompanied by a quasiparticle current which may lead to a measurable charge imbalance in the vicinity of the junction. Furthermore, we study the time evolution of the supercurrent after switching off the ac drive. On a time scale where parity relaxation is negligible, the supercurrent relaxes to a stationary nonequilibrium state. Finally, we briefly outline the regime of ultraweak driving where the acinduced processes occur on a time scale comparable to that of parity relaxation.)uuid:51f6b7ba92d44e8dbbd505b93560b8dfDhttp://resolver.tudelft.nl/uuid:51f6b7ba92d44e8dbbd505b93560b8dfCExact correspondence between Renyi entropy flows and physical flowsWe present a universal relation between the flow of a Renyi entropy and the full counting statistics of energy transfers. We prove the exact relation for a flow to a system in thermal equilibrium that is weakly coupled to an arbitrary timedependent and nonequilibrium system. The exact correspondence, given by this relation, provides a simple protocol to quantify the flows of Shannon and Renyi entropies from the measurements of energy transfer statistics.)uuid:bba9b656140c4928ba55077de20442fdDhttp://resolver.tudelft.nl/uuid:bba9b656140c4928ba55077de20442fdXClosing the proximity gap in a metallic Josephson junction between three superconductorsQPadurariu, C.; Jonkcheere, T.; Melin, R.; Feinberg, D.; Martin, T.; Nazarov, Y.V.We describe the proximity effect in a short disordered metallic junction between three superconducting leads. Andreev bound states in the multiterminal junction may cross the Fermi level. We reveal that for a quasicontinuous metallic density of states, crossings at the Fermi level manifest as a closing of the proximityinduced gap. We calculate the local density of states for a wide range of transport parameters using quantum circuit theory. The gap closes inside an area of the space spanned by the superconducting phase differences. We derive an approximate analytic expression for the boundary of the area and compare it to the full numerical solution. The size of the area increases with the transparency of the junction and is sensitive to asymmetry. The finite density of states at zero energy is unaffected by the electronhole decoherence present in the junction, although decoherence is important at higher energies. Our predictions can be tested using tunneling transport spectroscopy. To encourage experiments, we calculate the currentvoltage characteristic in a typical measurement setup. We show how the structure of the local density of states can be mapped out from the measurement.)uuid:8cea755781b343d0a77f1a44c4ce60d5Dhttp://resolver.tudelft.nl/uuid:8cea755781b343d0a77f1a44c4ce60d5MDensity of states in gapped superconductors with pairingpotential impuritiesBespalov, Anton (Russian Academy of Sciences; Universit Grenoble Alpes); Houzet, Manuel (Universit Grenoble Alpes); Meyer, Julia S. (Universit Grenoble Alpes); Nazarov, Y.V. (TU Delft QN/Nazarov Group)We study the density of states in disordered swave superconductors with a small gap anisotropy. We consider disorder in the form of common nonmagnetic scatterers and pairingpotential impurities, which interact with electrons via an electric potential and a local distortion of the superconducting gap. Using quasiclassical Green functions, we determine the boundstate spectrum at a single impurity and the density of states at a finite concentration of impurities. We show t< hat, if the gap is isotropic, an isolated impurity with suppressed pairing supports an infinite number of Andreev states. With growing impurity concentration, the energydependent density of states evolves from a sharp gap edge with an impurity band below it to a smeared BCS singularity in the socalled universal limit. Within one spin sector, pairingpotential impurities and weak spinpolarized magnetic impurities have essentially the same effect on the density of states. We note that, if a gap anisotropy is present, the density of states becomes sensitive to ordinary potential disorder, and the existence of Andreev states localized at pairingpotential impurities requires special conditions. An unusual feature related to the anisotropy is a nonmonotonic dependence of the gap edge smearing on impurity concentration.QN/Nazarov Group)uuid:985a4a5b3efb461ba89c39cfd4d5783bDhttp://resolver.tudelft.nl/uuid:985a4a5b3efb461ba89c39cfd4d5783b8Multiterminal Josephson junctions as topological matterRiwar, Roman Pascal (Universit Grenoble Alpes); Houzet, Manuel (Universit Grenoble Alpes); Meyer, Julia S. (Universit Grenoble Alpes); Nazarov, Y.V. (TU Delft QN/Nazarov Group)$Topological materials and their unusual transport properties are now at the focus of modern experimental and theoretical research. Their topological properties arise from the bandstructure determined by the atomic composition of a material and as such are difficult to tune and naturally restricted to d"3 dimensions. Here we demonstrate that nterminal Josephson junctions with conventional superconductors may provide novel realizations of topology in n1 dimensions, which have similarities, but also marked differences with existing 2D or 3D topological materials. For ne"4, the Andreev subgap spectrum of the junction can accommodate Weyl singularities in the space of the n1 independent superconducting phases, which play the role of bandstructure quasimomenta. The presence of these Weyl singularities enables topological transitions that are manifested experimentally as changes of the quantized transconductance between two voltagebiased leads, the quantization unit being 4e<sup>2</sup>/h, where e is the electric charge and h is the Planck constant.)uuid:0ce9af59c1b34d41a787460888f2d527Dhttp://resolver.tudelft.nl/uuid:0ce9af59c1b34d41a787460888f2d527HTheoretical Model to Explain Excess of Quasiparticles in SuperconductorsBespalov, Anton (Universit Grenoble Alpes); Houzet, Manuel (Universit Grenoble Alpes); Meyer, Julia S. (Universit Grenoble Alpes); Nazarov, Y.V. (TU Delft QN/Nazarov Group)Experimentally, the concentration of quasiparticles in gapped superconductors always largely exceeds the equilibrium one at low temperatures. Since these quasiparticles are detrimental for many applications, it is important to understand theoretically the origin of the excess. We demonstrate in detail that the dynamics of quasiparticles localized at spatial fluctuations of the gap edge becomes exponentially slow. This gives rise to the observed excess in the presence of a vanishingly weak nonequilibrium agent.)uuid:6cd4a9d90f9c4d1aaf10859c8a80c0c0Dhttp://resolver.tudelft.nl/uuid:6cd4a9d90f9c4d1aaf10859c8a80c0c0sOrder, disorder, and tunable gaps in the spectrum of Andreev bound states in a multiterminal superconducting deviceYokoyama, T. (TU Delft QN/Theoretical Physics; University of Tokyo); Reutlinger, Johannes (Universitt Konstanz); Belzig, Wolfgang (Universitt Konstanz); Nazarov, Y.V. (TU Delft QN/Nazarov Group)
We consider the spectrum of Andreev bound states (ABSs) in an exemplary fourterminal superconducting structure where four chaotic cavities are connected by quantum point contacts to the terminals and to each other forming a ring. We nickname the resulting device 4Tring. Such a tunable device can be realized in a 2D electron gassuperconductor or a graphenebased hybrid structure. We concentrate on the limit of a short structure and large conductance of the point contacts where there are many ABS in the device forming a quasicontinuous spect< rum. The energies of the ABS can be tuned by changing the superconducting phases of the terminals. We observe the opening and closing of gaps in the spectrum upon changing the phases. This concerns the usual proximity gap that separates the levels from zero energy as well as less usual "smile" gaps that split the levels of the quasicontinuous spectrum. We demonstrate a remarkable crossover in the overall spectrum that occurs upon changing the ratio of conductances of the inner and outer point contacts. At big values of the ratio (closed limit), the levels exhibit a generic behavior expected for the spectrum of a disordered system manifesting level repulsion and Brownian "motion" upon changing the phases. At small values of the ratio (open limit), the levels are squeezed into narrow bunches separated by wide smile gaps. Each bunch consists of almost degenerate ABS formed by Andreev reflection between two adjacent terminals. We study in detail the properties of the spectrum in the limit of a small ratio, paying special attention to the crossings of bunches. We distinguish two types of crossings: (i) with a regular phase dependence of the levels and (ii) crossings where the Brownian motion of the levels leads to an apparently irregular phase dependence. We work out a perturbation theory that explains the observations both at a detailed level of random scattering in the device and at a phenomenological level of positively defined random matrices. The unusual properties of the spectrum originate from rather unobvious topological effects. The topology of the first kind is restricted to the semiclassical limit and related to the winding of the semiclassical Green function. It is responsible for the closing of the proximity gaps. The topology of the second kind comes about the discreteness of the number of modes in the point contacts and is responsible for the smile gaps. The topology of the third kind leads to the emergence of Weyl points in the spectrum and is not discussed in the context of this article.QN/Theoretical Physics)uuid:0828ede8954741fbb1ba602c160ae425Dhttp://resolver.tudelft.nl/uuid:0828ede8954741fbb1ba602c160ae425WCoherent transport properties of a threeterminal hybrid superconducting interferometerVischi, F. (Istituto NanoscienzeCNR and Scuola Normale Superiore; University of Pisa); Carrega, M. (Istituto NanoscienzeCNR and Scuola Normale Superiore); Strambini, E. (Istituto NanoscienzeCNR and Scuola Normale Superiore); D'Ambrosio, S. (Istituto NanoscienzeCNR and Scuola Normale Superiore); Bergeret, F. S. (Centro Mixto CSICUPV/EHU; Donostia International Physics Center); Nazarov, Y.V. (TU Delft QN/Nazarov Group); Giazotto, F. (Istituto NanoscienzeCNR and Scuola Normale Superiore)We present an exhaustive theoretical analysis of a doubleloop Josephson proximity interferometer, such as the one recently realized by Strambini et al. for control of the Andreev spectrum via an external magnetic field. This system, called SQUIPT, consists of a Tshaped diffusive normal metal (N) attached to three superconductors (S) forming a doubleloop configuration. By using the quasiclassical Greenfunction formalism, we calculate the local normalized density of states, the Josephson currents through the device, and the dependence of the former on the length of the junction arms, the applied magnetic field, and the S/N interface transparencies. We show that by tuning the fluxes through the double loop, the system undergoes transitions from a gapped to a gapless state. We also evaluate the Josephson currents flowing in the different arms as a function of magnetic fluxes, and we explore the quasiparticle transport by considering a metallic probe tunnelcoupled to the Josephson junction and calculating its IV characteristics. Finally, we study the performances of the SQUIPT and its potential applications by investigating its electrical and magnetometric properties.)uuid:0a08e5c0a189490db88f192819234a24Dhttp://resolver.tudelft.nl/uuid:0a08e5c0a189490db88f192819234a24OTopological transconductance quantization in a four< terminal Josephson junctionEriksson, Erik (Universit Grenoble Alpes; CEA Grenoble); Riwar, Roman Pascal (Universit Grenoble Alpes; CEA Grenoble); Houzet, Manuel (Universit Grenoble Alpes; CEA Grenoble); Meyer, Julia S. (Universit Grenoble Alpes; CEA Grenoble); Nazarov, Y.V. (TU Delft QN/Nazarov Group)Recently we predicted that the Andreev boundstate spectrum of fourterminal Josephson junctions may possess topologically protected zeroenergy Weyl singularities, which manifest themselves in a quantized transconductance in units of 4e2/h when two of the terminals are voltage biased [R.P. Riwar, M. Houzet, J. S. Meyer, and Y. V. Nazarov, Nature Commun. 7, 11167 (2016)2041172310.1038/ncomms11167]. Here, using the LandauerBttiker scattering theory, we compute numerically the currents flowing through such a structure in order to assess the conditions for observing this effect. We show that the voltage below which the transconductance becomes quantized is determined by the interplay of nonadiabatic transitions between Andreev bound states and inelastic relaxation processes. We demonstrate that the topological quantization of the transconductance can be observed at voltages of the order of 102/e, being the the superconducting gap in the leads.)uuid:0401c4b7c459447bb8f36a366c10a14eDhttp://resolver.tudelft.nl/uuid:0401c4b7c459447bb8f36a366c10a14e]Probability distributions of continuous measurement results for conditioned quantum evolution\Franquet Gonzlez, A. (TU Delft QN/Nazarov Group); Nazarov, Y.V. (TU Delft QN/Nazarov Group)We address the statistics of continuous weak linear measurement on a fewstate quantum system that is subject to a conditioned quantum evolution. For a conditioned evolution, both the initial and final states of the system are fixed: the latter is achieved by the postselection in the end of the evolution. The statistics may drastically differ from the nonconditioned case, and the interference between initial and final states can be observed in the probability distributions of measurement outcomes as well as in the average values exceeding the conventional range of nonconditioned averages. We develop a proper formalism to compute the distributions of measurement outcomes, and evaluate and discuss the distributions in experimentally relevant setups. We demonstrate the manifestations of the interference between initial and final states in various regimes. We consider analytically simple examples of nontrivial probability distributions. We reveal peaks (or dips) at halfquantized values of the measurement outputs. We discuss in detail the case of zero overlap between initial and final states demonstrating anomalously big average outputs and sudden jump in timeintegrated output. We present and discuss the numerical evaluation of the probability distribution aiming at extending the analytical results and describing a realistic experimental situation of a qubit in the regime of resonant fluorescence.)uuid:1a95868d024c4d29864a78cddbb161ffDhttp://resolver.tudelft.nl/uuid:1a95868d024c4d29864a78cddbb161ffSupercurrents in Unidirectional Channels Originate from Information Transfer in the Opposite Direction: A Theoretical PredictionHuang, X. (TU Delft QN/Nazarov Group; Kavli Institute of Nanoscience); Nazarov, Y.V. (TU Delft QN/Nazarov Group; Kavli Institute of Nanoscience)It has been thought that the long chiral edge channels cannot support any supercurrent between the superconducting electrodes. We show theoretically that the supercurrent can be mediated by a nonlocal interaction that facilitates a longdistance information transfer in the direction opposite of electron flow. We compute the supercurrent for several interaction models, including that of an external circuit.)uuid:487fe4cf7431425fb8da78225b3a3124Dhttp://resolver.tudelft.nl/uuid:487fe4cf7431425fb8da78225b3a3124"Weyl disks: Theoretical predictionErdmanis, J. (TU Delft QN/Nazarov Group; Kavli Institute of Nanoscience); Lukacs, A.L. (TU Delft QN/Nazarov Group; Kavli Institute of Nanoscience); Nazarov, Y.V. (TU Delft QN/<Nazarov Group; Kavli Institute of Nanoscience)A variety of quantum systems exhibit Weyl points in their spectra where two bands cross in a point of threedimensional parameter space with conical dispersion in the vicinity of the point. We consider theoretically the soft constraint regime where the parameters are dynamical quantum variables. We have shown that in general the soft constraints, in the quasiclassical limit, result in Weyl disks where two states are (almost) degenerate in a finite twodimensional region of the threedimensional parameter space. We provide concrete calculations for two setups: Weyl point in a fourterminal superconducting structure and a Weyl exciton, i.e., a bound state of Weyl electron and a massive hole.)uuid:5a034232fc1b49378d5aaea406ec24e4Dhttp://resolver.tudelft.nl/uuid:5a034232fc1b49378d5aaea406ec24e4NNonlinear and dotdependent Zeeman splitting in GaAs/AlGaAs quantum dot arrays&Michal, V.P. (TU Delft Vandersypen Lab; TU Delft QuTech; Kavli Institute of Nanoscience); Fujita, T. (TU Delft Vandersypen Lab; TU Delft QuTech; Kavli Institute of Nanoscience); Baart, T.A. (TU Delft Vandersypen Lab; TU Delft QuTech; Kavli Institute of Nanoscience); Danon, J. (Norwegian University of Science and Technology); Reichl, C (ETH Zrich); Wegscheider, W (ETH Zrich); Vandersypen, L.M.K. (TU Delft Vandersypen Lab; TU Delft QuTech; Kavli Institute of Nanoscience); Nazarov, Y.V. (TU Delft QN/Nazarov Group; Kavli Institute of Nanoscience)0We study the Zeeman splitting in lateral quantum dots that are defined in GaAsAlGaAs heterostructures by means of split gates. We demonstrate a nonlinear dependence of the splitting on magnetic field and its substantial variations from dot to dot and from heterostructure to heterostructure. These phenomena are important in the context of information processing since the tunability and dotdependence of the Zeeman splitting allow for a selective manipulation of spins. We show that spinorbit effects related to the GaAs band structure quantitatively explain the observed magnitude of the nonlinear dependence of the Zeeman splitting. Furthermore, spinorbit effects result in a dependence of the Zeeman splitting on predominantly the outofplane quantum dot confinement energy. We also show that the variations of the confinement energy due to charge disorder in the heterostructure may explain the dependence of Zeeman splitting on the dot position. This position may be varied by changing the gate voltages, which leads to an electrically tunable Zeeman splitting.
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Root Entry F@SummaryInformation( F<Workbook FUDocumentSummaryInformation8 F
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!"#$%&'()*+,./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{}~