Diffusion of skyrmions: the role of topology and anisotropy

We study the diffusive motion of metastable localized spin structures with various topological charges by combining atomistic spin model simulations with an extension to the Thiele equation taking into account translational and rotational degrees of freedom. The Brownian motion of skyrmions is shown...

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Main Authors: M Weißenhofer, U Nowak
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/abc1c9
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author M Weißenhofer
U Nowak
author_facet M Weißenhofer
U Nowak
author_sort M Weißenhofer
collection DOAJ
description We study the diffusive motion of metastable localized spin structures with various topological charges by combining atomistic spin model simulations with an extension to the Thiele equation taking into account translational and rotational degrees of freedom. The Brownian motion of skyrmions is shown to obey markedly different diffusion laws depending on their topological properties. We demonstrate that skyrmions with topological charges Q = −1 and Q = 0 exhibit anisotropic translational diffusion due to their non-circular shape. The coupling between rotational and translational Brownian motion, however, causes memory of the initial orientation to be lost on a timescale governed by the effective rotational diffusion coefficient, ultimately leading to isotropic diffusion in the long time limit.
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spelling doaj.art-fd1a9612476745bc9bd04c159ea7ddbd2023-08-08T15:31:40ZengIOP PublishingNew Journal of Physics1367-26302020-01-01221010305910.1088/1367-2630/abc1c9Diffusion of skyrmions: the role of topology and anisotropyM Weißenhofer0https://orcid.org/0000-0002-3283-2560U Nowak1Fachbereich Physik, Universität Konstanz , DE-78457 Konstanz, GermanyFachbereich Physik, Universität Konstanz , DE-78457 Konstanz, GermanyWe study the diffusive motion of metastable localized spin structures with various topological charges by combining atomistic spin model simulations with an extension to the Thiele equation taking into account translational and rotational degrees of freedom. The Brownian motion of skyrmions is shown to obey markedly different diffusion laws depending on their topological properties. We demonstrate that skyrmions with topological charges Q = −1 and Q = 0 exhibit anisotropic translational diffusion due to their non-circular shape. The coupling between rotational and translational Brownian motion, however, causes memory of the initial orientation to be lost on a timescale governed by the effective rotational diffusion coefficient, ultimately leading to isotropic diffusion in the long time limit.https://doi.org/10.1088/1367-2630/abc1c9magnetic skyrmionsBrownian motiontopological chargeanisotropyatomistic spin simulations
spellingShingle M Weißenhofer
U Nowak
Diffusion of skyrmions: the role of topology and anisotropy
New Journal of Physics
magnetic skyrmions
Brownian motion
topological charge
anisotropy
atomistic spin simulations
title Diffusion of skyrmions: the role of topology and anisotropy
title_full Diffusion of skyrmions: the role of topology and anisotropy
title_fullStr Diffusion of skyrmions: the role of topology and anisotropy
title_full_unstemmed Diffusion of skyrmions: the role of topology and anisotropy
title_short Diffusion of skyrmions: the role of topology and anisotropy
title_sort diffusion of skyrmions the role of topology and anisotropy
topic magnetic skyrmions
Brownian motion
topological charge
anisotropy
atomistic spin simulations
url https://doi.org/10.1088/1367-2630/abc1c9
work_keys_str_mv AT mweißenhofer diffusionofskyrmionstheroleoftopologyandanisotropy
AT unowak diffusionofskyrmionstheroleoftopologyandanisotropy