# Spin-momentum locking and Majorana fermions in charge carrier hole epitaxial wires

## TL;DR

This paper explores how epitaxial semiconductor nanowires with hole charge carriers can host topological superconductivity and Majorana fermions, highlighting unique spin-momentum locking properties distinct from traditional quantum wires.

## Contribution

It demonstrates that hole-based epitaxial nanowires can support Majorana fermions under conditions similar to topological insulators, differing from conventional quantum wire criteria.

## Key findings

- Holes exhibit an infinite effective mass and spin-locking due to a chiral linear spectrum.
- Topological superconductivity criteria in hole wires match those of topological insulators.
- Majorana fermions can emerge in these systems under specific coupling conditions.

## Abstract

Epitaxial semiconductor nanowires with charge carrier holes can exhibit an infinite mass of holes and spin-locking due to chiral spectrum linear in momentum and spin. The criterion for emergence of topological superconductivity and Majorana fermions in these wires coupled to an s-type superconductors is the same as in topological insulators, and opposite to the criterion of onset of Majorana modes in quantum wires with parabolic spectrum in the presence of spin-orbit interactions.