Majorana edge states in interacting one-dimensional systems

TL;DR

This paper investigates how electron-electron interactions in one-dimensional systems near superconductors affect Majorana edge states, showing that strong interactions can destroy these states, but weak interactions may preserve them under certain conditions.

Contribution

It demonstrates the impact of electron-electron interactions on Majorana edge states and proposes strategies to maintain these states in weakly interacting regimes.

Findings

Strong interactions destroy Majorana edge states

Weak interactions can preserve Majorana states

Renormalization of the superconducting gap is nonuniversal

Abstract

We show that one-dimensional electron systems in proximity of a superconductor that support Majorana edge states are extremely susceptible to electron-electron interactions. Strong interactions generically destroy the induced superconducting gap that stabilizes the Majorana edge states. For weak interactions, the renormalization of the gap is nonuniversal and allows for a regime, in which the Majorana edge states persist. We present strategies how this regime can be reached.