Multiscale approach for magnetization dynamics: unraveling exotic magnetic states of matter

Abstract

Crystallographic lattice defects strongly influence dynamical properties of magnetic materials at both microscopic and macroscopic length scales. A multiscale approach to magnetization dynamics, which is presented in this paper, accurately captures such effects. The method is illustrated using examples of systems with localized, nontrivial topological properties, e.g., in the form of skyrmions and domain walls that interact with lattice dislocations. Technical aspects of the methodology involve multiscale magnetization dynamics that connect atomistic and continuum descriptions. The technique is capable of solving the Landau-Lifshitz-Gilbert equations efficiently in two regions of a magnetic material—the mesoscopic and the atomistic regions, which are coupled in a seamless way. It is demonstrated that this methodology allows simulating realistically sized magnetic skyrmions interacting with material defects and complex physical effects.