1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires

TL;DR

This paper introduces a novel system of 1D Majorana modes in nanowires that exhibit partial supersymmetry breaking, with potential applications in topological quantum computation and new braiding protocols.

Contribution

It proposes a new physical realization of Majorana modes as bulk excitations with supersymmetry properties in periodically-modulated nanowires, including experimental signatures and dynamic control methods.

Findings

Majorana modes exhibit a dip-to-peak conductance transition.

System realizes centrally-extended supersymmetry with partial breaking.

Majorana modes can be moved along the wire using a rotating magnetic field.

Abstract

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we introduce one-dimensional, counterpropagating, and dispersive Majorana modes as bulk excitations of a periodic chain of partially-overlapping, zero-dimensional Majorana modes in proximitized nanowires via periodically-modulated fields. This system realizes centrally-extended quantum-mechanical supersymmetry with spontaneous partial supersymmetry breaking. The massless Majorana modes are the Nambu-Goldstone fermions (Goldstinos) associated with the spontaneously broken supersymmetry. Their experimental fingerprint is a dip-to-peak transition in the zero-bias conductance, which is generally not expected for Majorana modes overlapping at a finite distance. Moreover, the Majorana modes can slide along the wire by applying a rotating magnetic field, realizing a "Majorana pump". This may suggest new braiding protocols and implementations of topological qubits.