Edge modes in chiral electron double layers

TL;DR

This paper investigates edge and bulk quasiparticle modes in chiral electron double layers with pairing, revealing their energy-dependent localization, bulk-edge correspondence, and potential for external control of quasiparticle currents.

Contribution

It introduces an analytic framework for distinguishing edge and bulk modes in chiral double layers and explores their transition and controllability.

Findings

Edge modes are localized at the boundary, bulk modes are delocalized.

A bulk-edge correspondence is established through analytic continuation.

Quasiparticle currents can be manipulated via external coupling.

Abstract

We study the quasiparticles in chiral double layers with electron pairing within the framework of the Bogoliubov de Gennes equation. In the presence of an edge it is demonstrated that the quasiparticle modes can be distinguished as edge modes and bulk modes, which appear at different energies. The bulk-edge correspondence is obtained by an analytic continuation from the in-gap edge modes to the bands of bulk modes. By varying the energy we find a transition from localized edge modes to delocalized bulk modes. We calculate the quasiparticle currents, discuss briefly how these currents couple to external currents, and predict how this can be used to control the quasiparticle modes.