Current and field driven domain wall motion under influence of the Dzyaloshinsky-Moriya interaction

TL;DR

This paper provides an analytical model describing how current and magnetic field influence the motion of transverse domain walls in magnetic materials, considering the effects of Dzyaloshinsky-Moriya interaction in various orientations.

Contribution

It introduces a comprehensive analytical framework for domain wall dynamics incorporating Dzyaloshinsky-Moriya interaction with different vector orientations.

Findings

Analytical solutions for domain wall motion under various Dzyaloshinsky-Moriya configurations.

Identification of five distinct dynamic scenarios based on vector orientation.

Insights into reversal and precessional motion mechanisms.

Abstract

A complete analytical description of the dynamics of current and field driven transverse domain walls under the influence of the Dzyaloshinsky-Moriya interaction using the $\phi - q$ model will be given. Five different scenarios will be observed where the Dzyaloshinsky-Moriya vector is either parallel or perpendicular to the easy axis anisotropy of the system and a direct reversal respectively precessional motion will be assumed.