Manipulating Edge Majorana Fermions in Vortex State

TL;DR

This paper demonstrates how to manipulate and braid edge Majorana fermions in a vortex state superconductor using gate voltages, showing their non-Abelian statistics for potential quantum computing applications.

Contribution

It introduces a practical method for generating, fusing, transporting, and braiding edge Majorana fermions via gate tuning in a superconductor, enabling topological quantum computation.

Findings

Edge Majorana fermions can be manipulated with gate voltages.

Braiding of edge MFs obeys non-Abelian statistics.

Proposed setup is simple and suitable for quantum computing.

Abstract

A vortex in a model spinless px+ipy superconductor induces two Majorana fermions (MFs), one in the core and the other at the sample edge. In the present work, we show that edge MF can be generated, fused, transported, and braided easily by tuning gate voltages at point-like constriction junctions. Solving the time-dependent Bogoliubov-de Gennes equation, we demonstrate that the braiding of edge MFs obeys the non-Abelian statistics. The present setup is therefore a promising implementation for topological quantum computation, and has the advantage of easy manipulation and simple device structure.