Soliton and 2D domains in ultra-thin magnetic films

TL;DR

This paper demonstrates that two-dimensional magnetic domain patterns in ultra-thin films can be analytically described using soliton solutions of the imaginary time Sine Gordon equation, enhancing understanding of micromagnetic phenomena.

Contribution

It introduces an analytical approach linking soliton solutions to observed domain patterns in ultra-thin magnetic films, providing new insights into their micromagnetic behavior.

Findings

Two-dimensional domain patterns match soliton solutions from the imaginary time Sine Gordon equation.

Analytic solutions offer a new understanding of micromagnetics in ultra-thin films.

Simulation results are explained through these soliton solutions.

Abstract

We show that many two dimensional domain patterns observed in Monte Carlo simulations can be obtained from the many soliton solutions of the imaginary time Sine Gordon equation. This opens the door to analytic physical understanding of the micromagnetics in ultra-thin films.