Magnetic skyrmion interactions in the micromagnetic framework

Abstract

Magnetic skyrmions are localized swirls of magnetization with a non-trivial topological winding number. This winding increases their robustness to superparamagnetism and gives rise to a myriad of novel dynamical properties, making them attractive as next-generation information carriers. Recently the equation of motion for a skyrmion was derived using the approach pioneered by Thiele, allowing for macroscopic skyrmion systems to be modeled efficiently. This powerful technique suffers from the prerequisite that one must have a priori knowledge of the functional form of the interaction between a skyrmion and all other magnetic structures in its environment. Here we attempt to alleviate this problem by providing a simple analytic expression which can generate arbitrary repulsive interaction potentials from the micromagnetic Hamiltonian. We also discuss a toy model of the radial profile of a skyrmion which is accurate for a wide range of material parameters.

arXiv comment6 pages, 4 figures

References in corpus (15)

• The design and verification of Mumax3
• Direct Observation of the Skyrmion Hall Effect
• Dynamics of Dzyaloshinskii domain walls in ultrathin magnetic films
• Field-Dependent Size and Shape of Single Magnetic Skyrmions
• Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory
• Chiral skyrmions in thin magnetic films: new objects for magnetic storage technologies?
• A theory on skyrmion size and profile
• The properties of isolated chiral skyrmions in thin magnetic films
• Particle model for skyrmions in metallic chiral magnets: dynamics, pinning and creep
• A magnetic skyrmion as a non-linear resistive element - a potential building block for reservoir computing
• Skyrmion Gas Manipulation for Probabilistic Computing
• Surface twist instabilities and skyrmion states in chiral ferromagnets
• Three-dimensional chiral skyrmions with attractive interparticle interactions
• Direct Observation of Attractive Skyrmions and Skyrmion Clusters in the Cubic Helimagnet Cu${}_2$OSeO${}_3$
• Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii-Moriya interaction

Cited by in corpus (10)

• Skyrmion interactions and lattices in chiral magnets: analytical results
• Mesoscale phase separation of skyrmion-vortex matter in chiral magnet-superconductor heterostructures
• Geometrically constrained Skyrmions
• Structural transition of skyrmion quasiparticles under compression
• Exploring instantons with spin-lattice systems
• Thermal motion of skyrmion arrays in granular films
• Peak Effect, Melting, and Transport in Skyrmion Crystals
• Skyrmion-skyrmion interaction induced by itinerant electrons in a ferromagnetic strip
• Skyrmions in an oblique field: A path to novel binary and quaternary memory
• Quantum Heat Under the Microscope: A Perspective on Cryogenic Scanning Thermal Microscopy