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  • Letter
  • Open Access

Flat-band Majorana bound states in topological Josephson junctions

Daisuke Oshima1,*, Satoshi Ikegaya1,*, Andreas P. Schnyder2, and Yukio Tanaka1

  • 1Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan
  • 2Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany

  • *These authors contributed equally to this work.
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Phys. Rev. Research 4, L022051 – Published 31 May, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L022051

Abstract

Nodal topological superconductors characterized by px-wave pairing symmetry host flat-band Majorana bound states causing drastic anomalies in low-energy electromagnetic responses. Nevertheless, the study of flat-band Majorana bound states has been at a standstill owing to a serious lack of candidate materials for px-wave superconductors. In this paper, by expanding a scheme of planar topological Josephson junctions, we propose a promising device realizing an effective px-wave superconductor. Specifically, we consider a three-dimensional Josephson junction consisting of a thin-film semiconductor hosting a persistent spin-helix state and two conventional s-wave superconductors. We analytically obtain a topological phase diagram and numerically demonstrate the emergence of flat-band Majorana bound states by calculating the local density of states.

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Phys. Rev. Research 4, L022051– Published 31 May, 2022
  • Received 6 November 2021
  • Revised 30 March 2022
  • Accepted 1 April 2022
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