Dynamics of topological magnetic solitons

TL;DR

This paper establishes a fundamental link between the topological properties of magnetic media and their dynamics, revealing that topological magnetic solitons exhibit Hall and Magnus effect-like behaviors, with implications for ferromagnets, antiferromagnets, and superfluids.

Contribution

It introduces conservation laws connecting topological complexity to magnetic soliton dynamics, unifying their behavior with well-known physical effects across different magnetic systems.

Findings

Conservation laws for linear and angular momentum in topological magnetic media.

Magnetic solitons exhibit Hall and Magnus effect-like dynamics.

Extension of the framework to superfluids is discussed.

Abstract

A direct link between the topological complexity of magnetic media and their dynamics is established through the construction of unambiguous conservation laws for the linear and angular momenta as moments of a topological vorticity. As a consequence, the dynamics of topological magnetic solitons is shown to exhibit the characteristic features of the Hall effect of electrodynamics or the Magnus effect of fluid dynamics. The main points of this program are reviewed here for both ferromagnets and antiferromagnets, while a straightforward extension to the study of superfluids is also discussed briefly.