# Optimized micromagnet geometries for Majorana zero modes in low g-factor materials

## TL;DR

This paper proposes an optimized micromagnet design to induce effective spin-orbit coupling in low g-factor materials, enabling the realization of Majorana zero modes without relying on intrinsic spin-orbit interactions.

## Contribution

It introduces a novel optimization method for micromagnet geometries that facilitate topological superconductivity in materials with weak intrinsic spin-orbit coupling.

## Key findings

- Optimized micromagnet geometries successfully induce Majorana bound states.
- Majorana states are robust against disorder and periodic potentials.
- Low g-factor materials are viable for Majorana device applications.

## Abstract

Solid-state experimental realizations of Majorana bound states are based on materials with strong intrinsic spin-orbit interactions. In this paper, we explore an alternative approach where spin-orbit coupling is induced artificially through a nonuniform magnetic field that originates from an array of micromagnets. Using a recently developed optimization algorithm, we find suitable magnet geometries for the emergence of topological superconductivity in wires without intrinsic spin-orbit coupling. We confirm the robustness of Majorana bound states against disorder and periodic potentials whose amplitudes do not exceed the Zeeman energy. Furthermore, we identify low g-factor materials commonly used in mesoscopic physics experiments as viable candidates for Majorana devices.