Majorana Fermion Rides on a Magnetic Domain Wall

TL;DR

This paper proposes a novel method to host and manipulate Majorana fermions using mobile magnetic domain walls in a spin-orbit coupled nanowire, enabling nonintrusive braiding and potential quantum computing applications.

Contribution

It introduces a new platform for Majorana fermions utilizing magnetic domain walls and provides analytical solutions in the strong spin-orbit regime.

Findings

Majorana fermions can be hosted on mobile magnetic domain walls.

Thermal control enables nonintrusive braiding of Majorana fermions.

Analytical solutions are derived for Majorana states in the strong spin-orbit regime.

Abstract

We propose using a mobile magnetic domain wall as a host of zero-energy Majorana fermions in a spin-orbit coupled nanowire sandwiched by two ferromagnetic strips and deposited on an $s$-wave superconductor. The ability to control domain walls by thermal means allows to braid Majorana fermions nonintrusively, which obey non-Abelian statistics. The analytical solutions of Majorana fermions inside domain walls are obtained in the strong spin-orbit regime.