Print Email Facebook Twitter Minimal Zeeman field requirement for a topological transition in superconductors Title Minimal Zeeman field requirement for a topological transition in superconductors Author Pöyhönen, K.K. (TU Delft QRD/Wimmer Group; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft) Varjas, D. (TU Delft QRD/Kouwenhoven Lab; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft; Stockholm University) Wimmer, M.T. (TU Delft QN/Wimmer Group; TU Delft QuTech Advanced Research Centre; Kavli institute of nanoscience Delft) Akhmerov, A.R. (TU Delft QN/Akhmerov Group; TU Delft QuTech Advanced Research Centre) Date 2021 Abstract Platforms for creating Majorana quasiparticles rely on superconductivity and breaking of time-reversal symmetry. By studying continuous deformations to known trivial states, we find that the relationship between superconducting pairing and time reversal breaking imposes rigorous bounds on the topology of the system. Applying these bounds to s-wave systems with a Zeeman field, we conclude that a topological phase transition requires that the Zeeman energy at least locally exceed the superconducting pairing by the energy gap of the full Hamiltonian. Our results are independent of the geometry and dimensionality of the system. To reference this document use: http://resolver.tudelft.nl/uuid:43270bb6-f621-474e-a8ca-9fe14073dd7d DOI https://doi.org/10.21468/SCIPOSTPHYS.10.5.108 ISSN 2542-4653 Source SciPost Physics, 10 (5) Part of collection Institutional Repository Document type journal article Rights © 2021 K.K. Pöyhönen, D. Varjas, M.T. Wimmer, A.R. Akhmerov Files PDF SciPostPhys_10_5_108.pdf 314.39 KB Close viewer /islandora/object/uuid:43270bb6-f621-474e-a8ca-9fe14073dd7d/datastream/OBJ/view