Zero energy Majorana modes in superconducting wires

TL;DR

This paper explores a model of two interacting superconducting wires, demonstrating the existence of zero energy Majorana modes at phase boundaries, which are robust against disorder, with potential implications for quantum computing.

Contribution

It introduces a model showing how Majorana modes can appear at phase boundaries between superconducting and pair density wave states in coupled wires.

Findings

Zero energy Majorana modes exist at phase boundaries.

Majorana modes are robust against disorder.

Two distinct quasi-long-range ordered ground states are identified.

Abstract

I consider a model of two thin superconducting wires interacting through Josephson tunneling and Coulomb interactions. It is shown that there is a parameter range where such a model may have two ground states with different types of quasi-long-range order: one is superconducting and the other is pair density wave. It is further shown that boundaries between these different phases support zero energy Majorana modes and that these modes are robust against disorder.