Soliton solution of continuum magnetization-equation in conducting ferromagnet with a spin-polarized current

TL;DR

This paper derives exact soliton solutions for a modified Landau-Lifshitz equation in conducting ferromagnets with spin-polarized currents, revealing effects on spin wave properties and potential for shape control of spin waves.

Contribution

It provides the first analytical soliton solutions for the magnetization equation considering spin-polarized currents, highlighting current-driven effects and collision behaviors.

Findings

Spin current affects spin wave frequency and dispersion.

One-soliton solutions show current-driven precession.

Inelastic soliton collisions can be controlled via parameters.

Abstract

Exact soliton solutions of a modified Landau-Lifshitz equation for the magnetization of conducting ferromagnet in the presence of a spin-polarized current are obtained by means of inverse scattering transformation. From the analytical solution effects of spin-current on the frequency, wave number, and dispersion law of spin wave are investigated. The one-soliton solution indicates obviously current-driven precession and periodic shape-variation as well. The inelastic collision of solitons by which we mean the shape change before and after collision appears due to the spin current. We, moreover, show that complete inelastic collisions can be achieved by adjusting spectrum and current parameters. This may lead to a potential technique for shape control of spin wave.