Proximity effect of time-reversal symmetry broken noncentrosymmetric superconductors

Tim Kokkeler, Alexander Golubov, Sebastian Bergeret, and Yukio Tanaka
Phys. Rev. B 108, 094503 – Published 5 September 2023

Abstract

In noncentrosymmetric superconductors the pair potential has both even-parity singlet and odd-parity triplet components. If time-reversal symmetry is broken, the superconducting phase of these components is not the same, for example in anapole superconductors. In this paper it is shown that breaking time-reversal symmetry by a phase difference between the two components significantly alters both the density of states and the conductance in s+helical p-wave superconductors. The density of states and conductance in s+chiral p-wave superconductors are less influenced by adding a phase difference because time-reversal symmetry is already broken in the s+p-wave superconductor. The Tanaka-Nazarov boundary conditions are extended to 3D superconductors, allowing us to investigate a greater variety of superconductors, such as Balian-Werthamer superconductors, in which the direction of the d vector is parallel to the direction of momentum. The results are important for the determination of pair potentials in potentially time-reversal symmetry broken noncentrosymmetric superconductors.

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  • Received 6 June 2023
  • Revised 21 July 2023
  • Accepted 28 July 2023

DOI:https://doi.org/10.1103/PhysRevB.108.094503

©2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Tim Kokkeler1,2,*, Alexander Golubov2, Sebastian Bergeret3,1, and Yukio Tanaka4,5

  • 1Donostia International Physics Center (DIPC), 20018 Donostia–San Sebastián, Spain
  • 2University of Twente, 7522 NB Enschede, The Netherlands
  • 3Centro de Física de Materiales (CFM-MPC), Centro Mixto CSIC-UPV/EHU, 20018 Donostia–San Sebastián, Spain
  • 4Department of Applied Physics, Nagoya University, 464-8603 Nagoya, Japan
  • 5Research Center for Crystalline Materials Engineering, Nagoya University, 464-8603 Nagoya, Japan

  • *tim.kokkeler@dipc.org

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Issue

Vol. 108, Iss. 9 — 1 September 2023

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