Dissipative dynamics of magnetic solitons in metals

TL;DR

This paper investigates the dissipative behavior of magnetic solitons in metals by extending the Landau-Lifshitz-Gilbert equation to include texture effects, analyzing vortex dynamics in spin valves.

Contribution

It introduces a modified equation of motion for magnetic solitons that accounts for texture-induced currents and backaction, providing a self-consistent framework for their dynamics.

Findings

Modified equations predict changes in vortex orbit radius and frequency.

Analysis of dissipation power in vortex motion.

Self-consistent electrochemical potential equation derived.

Abstract

Soliton dynamics in spin-textured metals generate electrical currents, which produce backaction through spin torques. We modify the Landau-Lifshitz-Gilbert equation and the corresponding solitonic equations of motion to include such higher-order texture effects. We also find a quasistatic equation for the induced electrochemical potential, which needs to be solved for self-consistently, in the incompressible limit. As an example, we consider the orbital motion of a vortex in a point-contact spin valve, and discuss modifications of orbit radius, frequency, and dissipation power.