Coarsening dynamics of topological defects in thin Permalloy films

TL;DR

This paper investigates the relaxation dynamics of topological defects in thin Permalloy films through micromagnetic simulations, revealing complex power-law decay behaviors and defect coarsening processes.

Contribution

It provides a detailed analysis of defect dynamics during magnetic relaxation, highlighting non-trivial power-law exponents and their robustness against damping and disorder.

Findings

Power-law decay in defect energy and density during relaxation

Different defect types exhibit distinct power-law exponents

Exponents are robust against damping variations and structural disorder

Abstract

We study the dynamics of topological defects in the magnetic texture of rectangular Permalloy thin film elements during relaxation from random magnetization initial states. Our full micromagnetic simulations reveal complex defect dynamics during relaxation towards the stable Landau closure domain pattern, manifested as temporal power-law decay, with a system-size dependent cut-off time, of various quantities. These include the energy density of the system, and the number densities of the different kinds of topological defects present in the system. The related power-law exponents assume non-trivial values, and are found to be different for the different defect types. The exponents are robust against a moderate increase in the Gilbert damping constant and introduction of quenched structural disorder. We discuss details of the processes allowed by conservation of the winding number of the defects, underlying their complex coarsening dynamics.