Traveling domain walls in chiral ferromagnets

TL;DR

This paper demonstrates that chiral symmetry breaking allows for traveling domain wall solutions in a uniaxial ferromagnet with Dzyaloshinskii-Moriya interaction, using a topological and numerical approach.

Contribution

It introduces a novel topological method to find traveling domain wall solutions in chiral ferromagnets, which were previously not obtainable in closed form.

Findings

Traveling domain walls are enabled by chiral symmetry breaking.

Solutions are constructed numerically due to the lack of closed-form expressions.

The approach advances understanding of domain wall dynamics in chiral magnetic systems.

Abstract

We show that chiral symmetry breaking enables traveling domain wall solution for the conservative Landau-Lifshitz equation of a uniaxial ferromagnet with Dzyaloshinskii-Moriya interaction. In contrast to related domain wall models including stray-field based anisotropy, traveling wave solutions are not found in closed form. For the construction we follow a topological approach and provide details of solutions by means of numerical calculations.