Domain wall statics and dynamics in nanowires with arbitrary Dzyaloshinskii-Moriya tensors

TL;DR

This paper investigates how various components of the Dzyaloshinskii-Moriya interaction tensor influence the static and dynamic behavior of domain walls in magnetic nanowires, revealing complex effects on domain wall tilting and Walker breakdown fields.

Contribution

It introduces a comprehensive analysis of arbitrary DMI tensors using collective coordinates and micromagnetic simulations, highlighting non-trivial effects on domain wall dynamics.

Findings

Different DMI tensor components affect domain wall tilting.

DMI tensors can non-linearly enhance the Walker breakdown field.

Measurement approaches have limitations for arbitrary DMI tensors.

Abstract

The influence of different Dzyaloshinskii-Moriya interaction (DMI) tensor components on the static and dynamic properties of domain walls (DWs) in magnetic nanowires is investigated using one dimensional collective coordinates models and micromagnetic simulations. It is shown how the different contributions of the DMI can be compactly treated by separating the symmetric traceless, antisymmetric and diagonal components of the DMI tensor. First, we investigate the effect of all different DMI components on the static DW tilting in the presence and absence of in plane (IP) fields. We discuss the possibilities and limitations of this measurement approach for arbitrary DMI tensors. Secondly, the interplay of different DMI tensor components and their effect on the field driven dynamics of the DWs are studied and reveal a non-trivial effect of the Walker breakdown field of the material. It is shown how DMI tensors combining diagonal and off-diagonal elements can lead to a non-linear enhancement of the Walker field, in contrast with the linear enhancement obtainable in the usual cases (interface DMI or bulk DMI).