On quantifying the topological charge in micromagnetics using a lattice-based approach
Joo-Von Kim, Jeroen Mulkers
Abstract
Abstract An implementation of a lattice-based approach for computing the topological skyrmion charge is provided for the open source micromagnetics code mumax3 . Its accuracy with respect to an existing method based on finite difference derivatives is compared for three different test cases. The lattice-based approach is found to be more robust for finite-temperature dynamics and for nucleation and annihilation processes in extended systems.
Topics & Concepts
MicromagneticsPhysicsSkyrmionCharge (physics)AnnihilationTopology (electrical circuits)Topological quantum numberStatistical physicsComputer scienceNucleationMathematicsWork (physics)Condensed matter physicsProcess (computing)Code (set theory)Zero (linguistics)Tracking (education)AlgorithmMagnetic properties of thin filmsTopological Materials and PhenomenaQuasicrystal Structures and Properties