Commensurability between element symmetry and the number of skyrmions governing skyrmion diffusion in confined geometries
arXiv:2009.03995 · doi:10.1002/adfm.202010739
Abstract
Magnetic skyrmions are topological magnetic structures, which exhibit quasi-particle properties and can show enhanced stability against perturbation from thermal noise. Recently, thermal Brownian diffusion of these quasi-particles has been found in continuous films and applications in unconventional computing have received significant attention, which however require structured elements. Thus, as the next necessary step, we here study skyrmion diffusion in confined geometries and find it to be qualitatively different: The diffusion is governed by the interplay between the total number of skyrmions and the structure geometry. In particular, we ascertain the effect of circular and triangular geometrical confinement and find that for triangular geometries the behavior is drastically different for the cases when the number of skyrmions in the element is either commensurate or incommensurate with a symmetric filling of the element. This influence of commensurability is corroborated by simulations of a quasi-particle model.
arXiv comment21 pages, 3 figures
References in corpus (20)
- Skyrmion Lattice in a Chiral Magnet
- Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
- Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
- Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
- Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
- Skyrmions in Magnetic Multilayers
- Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory
- Thermal skyrmion diffusion applied in probabilistic computing
- Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
- 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
- A skyrmion-based spin-torque nano-oscillator
- Inertia, diffusion and dynamics of a driven skyrmion
- Thermal generation, manipulation and detection of skyrmions
- Melting a skyrmion lattice topologically: through the hexatic phase to a skyrmion liquid
- Drive Dependence of the Skyrmion Hall Effect in Disordered Systems
- Topology-Dependent Brownian Gyromotion of a Single Skyrmion
- Brownian motion of magnetic domain walls and skyrmions, and their diffusion constants
- Thermally assisted skyrmions creation in Pt/Co/Ta multilayer films
- The effect of the Magnus force on skyrmion relaxation dynamics
Cited by in corpus (13)
- Brownian reservoir computing realized using geometrically confined skyrmions
- Skyrmion pinning energetics in thin film systems
- Perspective on unconventional computing using magnetic skyrmions
- Circuits and excitations to enable Brownian token-based computing with skyrmions
- Enhanced thermally-activated skyrmion diffusion with tunable effective gyrotropic force
- Fundamental Theory of Current-Induced Motion of Magnetic Skyrmions
- Chiral Skyrmions Interacting with Chiral Flowers
- Imaging Topological Defect Dynamics Mediating 2D Skyrmion Lattice Melting
- Realizing Quantitative Quasiparticle Modeling of Skyrmion Dynamics in Arbitrary Potentials
- Skyrmion automotion in confined counter-sensor device geometries
- Skyrmion Lattice Order Controlled by Confinement Geometry
- Interface-Induced Stability of Nontrivial Topological Spin Textures: Unveiling Room-Temperature Hopfions and Skyrmions
- Topological characterization of dynamic chiral magnetic textures using machine learning