Nonreciprocal flexural dynamics of Dzyaloshinskii domain walls

TL;DR

This paper extends the 1D model of ferromagnetic domain wall dynamics to include flexural distortions, revealing nonreciprocal propagation and stability effects influenced by Dzyaloshinskii-Moriya interaction and in-plane magnetic fields.

Contribution

It introduces a novel extended model that accounts for flexural distortions in domain walls, capturing nonreciprocal behaviors not described by previous models.

Findings

Reveals nonreciprocal propagation of domain wall modes.

Shows stability conditions influenced by Dzyaloshinskii-Moriya interaction.

Demonstrates effects of in-plane magnetic fields on wall dynamics.

Abstract

We revisit the description of ferromagnetic domain wall dynamics through an extended one-dimensional model by allowing flexural distortions of the wall during its motion. This is taken into account by allowing the domain wall center and internal angle to be functions of position in the direction parallel to the wall. In the limit of small applied fields, this model accounts for the nonreciprocity in the propagation of wall modes and their stability in the presence of the Dzyaloshinskii-Moriya interaction and in-plane magnetic field.