The $p_{x}+ip_{y}$ Chiral Superconductor wire weakly coupled to two metallic rings pierced by an external flux

TL;DR

This paper investigates a p-wave superconductor wire coupled to two metallic rings with magnetic fluxes, revealing Majorana zero modes at interfaces and analyzing their correlation through ring currents.

Contribution

It introduces a model of a chiral p-wave superconductor wire coupled to metallic rings with flux, highlighting the emergence of Majorana zero modes at interfaces.

Findings

Majorana zero modes appear at the wire-ring interfaces.

Correlation between ring currents reveals Majorana fermion features.

External flux influences the properties of the Majorana modes.

Abstract

We consider a p-wave superconductor wire coupled to two metallic rings. confined to a one-dimensional wire. At the two interface between the the wire and the metallic rings the pairing order parameter vanishes, as result two zero modes Majorana fermion appear. The two metallic rings are pierced by external magnetic fluxes. The special features of the Majorana Fermions can be deduced from the correlation between the currents in the two rings.