Wireless Majorana Bound States: From Magnetic Tunability to Braiding

TL;DR

This paper proposes a new platform using magnetic textures in semiconductor-superconductor systems to create, manipulate, and braid Majorana bound states, advancing topological quantum computing research.

Contribution

It introduces a versatile 2D platform with magnetic tunnel junctions for controllable Majorana states, eliminating the need for wire networks.

Findings

Magnetic textures enable topological phase transitions for MBS confinement.

Scaling relations show suitability of various quantum well materials.

Platform allows for braiding operations in two dimensions.

Abstract

We propose a versatile platform to investigate the existence of Majorana bound states (MBSs) and their non-Abelian statistics through braiding. This implementation combines a two-dimensional electron gas formed in a semiconductor quantum well grown on the surface of an s-wave superconductor with a nearby array of magnetic tunnel junctions (MTJs). The underlying magnetic textures produced by MTJs provide highly controllable topological phase transitions to confine and transport MBSs in two dimensions, overcoming the requirement for a network of wires. Obtained scaling relations confirm that various semiconductor quantum well materials are suitable for this proposal.