Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors

TL;DR

This paper shows that two-dimensional noncentrosymmetric s-wave superconductors can host topological order and non-Abelian Majorana modes under magnetic fields, similar to known topological phases.

Contribution

It reveals the emergence of topological order and Majorana fermions in noncentrosymmetric s-wave superconductors, a novel finding in the field.

Findings

Topological order appears at specific electron densities under magnetic fields.

Zero energy Majorana modes exist in vortex cores.

Majorana modes obey non-Abelian statistics, akin to other topological systems.

Abstract

We demonstrate that in two-dimensional noncentrosymmetric s-wave superconductors under applied magnetic fields for a particular electron density, topological order emerges, and there exists a zero energy Majorana fermion mode in a vortex core, which obeys non-Abelian statistics, in analogy with p_x+ip_y superconductors, the Moore-Read Pfaffian quantum Hall state, and the gapped non-Abelian spin liquid phase of the Kitaev model.