Excitation spectra and wave functions of quasiparticle bound states in bilayer Rashba superconductors

TL;DR

This paper investigates the excitation spectra and wave functions of quasiparticle bound states in bilayer Rashba superconductors, revealing zero-energy states localized at edges and vortices in a topologically non-trivial phase under strong magnetic fields.

Contribution

It provides a numerical analysis of zero-energy quasiparticle states in bilayer Rashba superconductors, highlighting their localization properties in topologically non-trivial phases.

Findings

Zero-energy quasiparticle states are localized at edges and vortex cores.

Localization occurs when magnetic field exceeds a critical value.

States are associated with topologically non-trivial phases.

Abstract

We study the excitation spectra and the wave functions of quasiparticle bound states at a vortex and an edge in bilayer Rashba superconductors under a magnetic field. In particular, we focus on the quasiparticle states at the zero energy in the pair-density wave state in a topologically non-trivial phase. We numerically demonstrate that the quasiparticle wave functions with zero energy are localized at both the edge and the vortex core if the magnetic field exceed the critical value.