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Huang, X. (author), Nazarov, Y.V. (author)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 long-distance information transfer in the direction opposite of electron flow. We compute the supercurrent for...journal article 2017
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Franquet González, A. (author), Nazarov, Y.V. (author)We address the statistics of continuous weak linear measurement on a few-state 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...journal article 2017
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Eriksson, Erik (author), Riwar, Roman Pascal (author), Houzet, Manuel (author), Meyer, Julia S. (author), Nazarov, Y.V. (author)Recently we predicted that the Andreev bound-state spectrum of four-terminal Josephson junctions may possess topologically protected zero-energy 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,...journal article 2017
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Vischi, F. (author), Carrega, M. (author), Strambini, E. (author), D'Ambrosio, S. (author), Bergeret, F. S. (author), Nazarov, Y.V. (author), Giazotto, F. (author)We present an exhaustive theoretical analysis of a double-loop 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 ω-SQUIPT, consists of a T-shaped diffusive normal metal (N) attached to three superconductors (S)...journal article 2017
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Yokoyama, T. (author), Reutlinger, Johannes (author), Belzig, Wolfgang (author), Nazarov, Y.V. (author)We consider the spectrum of Andreev bound states (ABSs) in an exemplary four-terminal 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 4T-ring. Such a tunable device can be realized in a 2D electron gas...journal article 2017
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Bespalov, Anton (author), Houzet, Manuel (author), Meyer, Julia S. (author), Nazarov, Y.V. (author)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...journal article 2016
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Riwar, Roman Pascal (author), Houzet, Manuel (author), Meyer, Julia S. (author), Nazarov, Y.V. (author)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 ≤3 dimensions. Here we demonstrate that n...journal article 2016
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Bespalov, Anton (author), Houzet, Manuel (author), Meyer, Julia S. (author), Nazarov, Y.V. (author)We study the density of states in disordered s-wave superconductors with a small gap anisotropy. We consider disorder in the form of common nonmagnetic scatterers and pairing-potential impurities, which interact with electrons via an electric potential and a local distortion of the superconducting gap. Using quasiclassical Green functions, we...journal article 2016
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Padurariu, C. (author), Jonkcheere, T. (author), Melin, R. (author), Feinberg, D. (author), Martin, T. (author), Nazarov, Y.V. (author)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 proximity-induced gap. We calculate...journal article 2015
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Ansari, M.H. (author), Nazarov, Y.V. (author)We 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 time-dependent and nonequilibrium system. The exact correspondence, given by this relation, provides a simple...journal article 2015
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Riwar, R.P. (author), Houzet, M. (author), Meyer, J.S. (author), Nazarov, Y.V. (author)We study a short multichannel superconducting junction subject to dc and ac phase biases. The ac modulation changes the occupation of the Andreev bound states formed at the constriction by transitions between bound states and the continuum. In a short junction, the nonequilibrium Andreev bound-state population may relax through processes that...journal article 2015
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Ansari, M.H. (author), Nazarov, Y.V. (author)We evaluate Rényi 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...journal article 2015
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Yokoyama, T. (author), Eto, M. (author), Nazarov, Y.V. (author)We study theoretically the critical current in semiconductor nanowire Josephson junction with strong spin-orbit 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 spin-orbit interaction. We perform a...journal article 2014
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Reutlinger, J. (author), Glazman, L. (author), Nazarov, Y.V. (author), Belzig, W. (author)The superconducting proximity effect leads to strong modifications of the local density of states in diffusive or chaotic cavity Josephson junctions, which displays a phase-dependent energy gap around the Fermi energy. The so-called minigap of the order of the Thouless energy ETh is related to the inverse dwell time in the diffusive region in...journal article 2014
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Yokoyama, T. (author), Eto, M. (author), Nazarov, Y.V. (author)We investigate theoretically the Josephson junction of semiconductor nanowire with strong spin-orbit (SO) interaction in the presence of magnetic field. By using a tight-binding 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...journal article 2014
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Godschalk, F. (author), Nazarov, Y.V. (author)Recently, we have proposed the half-Josephson 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),...journal article 2014
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Pikulin, D. (author), Nazarov, Y.V. (author)Motivated 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...journal article 2013
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Godschalk, F. (author), Nazarov, Y.V. (author)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 so-called “half-Josephson laser” [ Phys. Rev. Lett. 107 073901 (2011)], cannot provide long...journal article 2013
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Hriscu, A.M. (author), Nazarov, Y.V. (author)We 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...journal article 2013
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Reutlinger, J. (author), Glazman, L. (author), Nazarov, Y.V. (author), Belzig, W. (author)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...journal article 2013