Non-Abelian toplogical superconductors from topological semimetals and related systems under superconducting proximity effect

TL;DR

This paper explores how topological semimetals and related systems under superconducting proximity effect can host non-Abelian topological superconductors characterized by Majorana fermions, expanding the understanding of topological phases.

Contribution

It demonstrates that all gapped superconductors in certain topological semimetals are non-Abelian, generalizing the property to broader systems and aiding the search for Majorana fermions.

Findings

All gapped superconductors in single crossing point topological semimetals are non-Abelian.

Generalization to related systems broadens the potential for realizing Majorana fermions.

Provides a framework for identifying non-Abelian topological superconductors.

Abstract

Non-Abelian toplogical superconductors are characterized by the existence of {zero-energy} Majorana fermions bound in the quantized vortices. This is a consequence of the nontrivial bulk topology characterized by an {\em odd} Chern number. It is found that in topological semimetals with a single two-bands crossing point all the gapped superconductors are non-Abelian ones. Such a property is generalized to related but more generic systems which will be useful in the search of non-Abelian superconductors and Majorana fermions.