Roles of chiral renormalization on magnetization dynamics in chiral magnets

TL;DR

This paper explores how chiral renormalization significantly influences magnetization dynamics in chiral magnets, affecting domain wall motion and challenging traditional Markovian assumptions, with implications for experimental detection.

Contribution

It introduces a theory for self-consistent magnetization dynamics in chiral magnets, highlighting the importance of chiral renormalization effects and their experimental signatures.

Findings

Chiral renormalization affects magnetization parameters in chiral magnets.

Domain wall creep motion can be explained by the theory, showing non-Markovian behavior.

Experimental tests can detect the chirality-dependent renormalization effects.

Abstract

In metallic ferromagnets, the interaction between local magnetic moments and conduction electrons renormalizes parameters of the Landau-Lifshitz-Gilbert equation such as the gyromagnetic ratio and the Gilbert damping, and makes them dependent on the magnetic configurations. Although the effects of the renormalization for nonchiral ferromagnets are usually minor and hardly detectable, we show that the renormalization does play a crucial role for chiral magnets. Here the renormalization is chiral and as such we predict experimentally identifiable effects on the phenomenology of magnetization dynamics. In particular, our theory for the self-consistent magnetization dynamics of chiral magnets allows for a concise interpretation of domain wall creep motion. We also argue that the conventional creep theory of the domain wall motion, which assumes Markovian dynamics, needs critical reexamination since the gyromagnetic ratio makes the motion non-Markovian. The non-Markovian nature of the domain wall dynamics is experimentally checkable by the chirality of the renormalization.