Odd-frequency Cooper pairing in chiral symmetric systems

ORAL

Abstract

Odd-frequency Cooper pairs emerge at the edge of topological superconductors. We study chiral symmetric systems, where the Hamiltonian anticommutes with a chiral operator and the topological number called a winding number can be defined in the bulk. We found that the odd-frequency Cooper pair at the edge is related to an extended version of the winding number we call this relation as spectral bulk boundary correspondence (SBBC) [1]. Then the total amount of the odd-frequency Cooper pair at the edge is predicted from the bulk value through the SBBC. From the SBBC with low frequency, odd-frequency Cooper pair diverges in the topologically non-trivial phase and it is linear in the trivial phase. We will also discuss the robustness of this relation against impurity.
[1] PRB 99, 184512 (2019).

*ST acknowledges support from JSPS for Scientific Research (B) (KAKENHI Grant No. JP18H01176). YT also acknowledges support from the JSPS for Scientific Research (B) (No. JP20H01857), Scientific Research (A) (KAKENHI Grant No. JP20H00131), and Core-to-Core program “Oxide Superspin” international network. SH acknowledges support from JSPS (KAKENHI Grants No. JP18K13490, No. JP18H01176, No. JP18H04305, and No. JP19H01842).

–

Presenters

  • Shun Tamura

    • Nagoya Univ
    • Applied Physics, Nagoya University

Authors

  • Shun Tamura

    • Nagoya Univ
    • Applied Physics, Nagoya University

  • Yukio Tanaka

    • Nagoya Univ
    • Applied Physics, Nagoya University
    • Applied Physics, Nagoya Univesity
    • Dep. of Appl. Phys., Nagoya University

  • Shintaro Hoshino

    • Physics, Saitama Univ.