Reversible to irreversible transitions in periodically driven skyrmion systems

We examine skyrmions driven periodically over random quenched disorder and show that there is a transition from reversible motion to a state in which the skyrmion trajectories are chaotic or irreversible. We find that the characteristic time required for the system to organize into a steady reversib...

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Main Authors: B L Brown, C Reichhardt, C J O Reichhardt
Format: Article
Language:English
Published: IOP Publishing 2019-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aaf8dd
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author B L Brown
C Reichhardt
C J O Reichhardt
author_facet B L Brown
C Reichhardt
C J O Reichhardt
author_sort B L Brown
collection DOAJ
description We examine skyrmions driven periodically over random quenched disorder and show that there is a transition from reversible motion to a state in which the skyrmion trajectories are chaotic or irreversible. We find that the characteristic time required for the system to organize into a steady reversible or irreversible state exhibits a power law divergence near a critical ac drive period, with the same exponent as that observed for reversible to irreversible transitions in periodically sheared colloidal systems, suggesting that the transition can be described as an absorbing phase transition in the directed percolation universality class. We compare our results to the behavior of an overdamped system and show that the Magnus term enhances the irreversible behavior by increasing the number of dynamically accessible orbits. We discuss the implications of this work for skyrmion applications involving the long time repeatable dynamics of dense skyrmion arrays.
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spelling doaj.art-49921839db9c40bfbd2c5642975e21f62023-08-08T15:37:07ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121101300110.1088/1367-2630/aaf8ddReversible to irreversible transitions in periodically driven skyrmion systemsB L Brown0C Reichhardt1C J O Reichhardt2https://orcid.org/0000-0002-3487-5089Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States of America; Department of Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, United States of America; Center for Soft Matter and Biological Physics, Virginia Tech , Blacksburg, Virginia 24061-0435, United States of AmericaTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States of AmericaTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States of AmericaWe examine skyrmions driven periodically over random quenched disorder and show that there is a transition from reversible motion to a state in which the skyrmion trajectories are chaotic or irreversible. We find that the characteristic time required for the system to organize into a steady reversible or irreversible state exhibits a power law divergence near a critical ac drive period, with the same exponent as that observed for reversible to irreversible transitions in periodically sheared colloidal systems, suggesting that the transition can be described as an absorbing phase transition in the directed percolation universality class. We compare our results to the behavior of an overdamped system and show that the Magnus term enhances the irreversible behavior by increasing the number of dynamically accessible orbits. We discuss the implications of this work for skyrmion applications involving the long time repeatable dynamics of dense skyrmion arrays.https://doi.org/10.1088/1367-2630/aaf8ddskyrmionnonequilibrium phase transitionsuperconducting vortex
spellingShingle B L Brown
C Reichhardt
C J O Reichhardt
Reversible to irreversible transitions in periodically driven skyrmion systems
New Journal of Physics
skyrmion
nonequilibrium phase transition
superconducting vortex
title Reversible to irreversible transitions in periodically driven skyrmion systems
title_full Reversible to irreversible transitions in periodically driven skyrmion systems
title_fullStr Reversible to irreversible transitions in periodically driven skyrmion systems
title_full_unstemmed Reversible to irreversible transitions in periodically driven skyrmion systems
title_short Reversible to irreversible transitions in periodically driven skyrmion systems
title_sort reversible to irreversible transitions in periodically driven skyrmion systems
topic skyrmion
nonequilibrium phase transition
superconducting vortex
url https://doi.org/10.1088/1367-2630/aaf8dd
work_keys_str_mv AT blbrown reversibletoirreversibletransitionsinperiodicallydrivenskyrmionsystems
AT creichhardt reversibletoirreversibletransitionsinperiodicallydrivenskyrmionsystems
AT cjoreichhardt reversibletoirreversibletransitionsinperiodicallydrivenskyrmionsystems