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Title: Reversible to irreversible transitions in periodically driven skyrmion systems

Abstract

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.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1489851
Alternate Identifier(s):
OSTI ID: 1557750; OSTI ID: 1558058
Report Number(s):
LA-UR-18-29789; LA-UR-18-30671
Journal ID: ISSN 1367-2630
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396
Resource Type:
Published Article
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 21; Journal Issue: 1; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Material Science; skyrmion; nonequilibrium phase transition; superconducting vortex

Citation Formats

Brown, Barton L., Reichhardt, Charles, and Reichhardt, Cynthia Jane. Reversible to irreversible transitions in periodically driven skyrmion systems. United States: N. p., 2019. Web. doi:10.1088/1367-2630/aaf8dd.
Brown, Barton L., Reichhardt, Charles, & Reichhardt, Cynthia Jane. Reversible to irreversible transitions in periodically driven skyrmion systems. United States. doi:10.1088/1367-2630/aaf8dd.
Brown, Barton L., Reichhardt, Charles, and Reichhardt, Cynthia Jane. Tue . "Reversible to irreversible transitions in periodically driven skyrmion systems". United States. doi:10.1088/1367-2630/aaf8dd.
@article{osti_1489851,
title = {Reversible to irreversible transitions in periodically driven skyrmion systems},
author = {Brown, Barton L. and Reichhardt, Charles and Reichhardt, Cynthia Jane},
abstractNote = {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.},
doi = {10.1088/1367-2630/aaf8dd},
journal = {New Journal of Physics},
number = 1,
volume = 21,
place = {United States},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1088/1367-2630/aaf8dd

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: (a), (b) Images of particle positions in a portion of the sample in the skyrmion limit with αmd=1. Filled circles are ‘active’ particles that do not return to the same position after each drive cycle, and open circles are inactive particles that move reversibly. (a) A reversible statemore » at d=14.30 after n=1, 10, and 311 cycles, from top to bottom. (b) An irreversible state at d=21.45 after n=1, 10, and 1000 cycles, from top to bottom. (c) The mean square particle displacement in the x direction, $R^{2}_{x}$, versus cycle number n for d=14.30 (blue) and d=21.45 (red). The dashed line is a fit to $R^{2}_{x}$ ∝ n. (d) The fraction Fa of active particles versus n for d=14.30 (blue) and d=21.45 (red). The dashed lines are fits to equation (4). The standard error of Fa is on the order of 10−3. The inset shows ∣Fa - F$^{∞}_{a}$∣ for the same values of d as in the main plot, but the d=21.45 (red) curve has been translated vertically to avoid overlap. At long times, Fa exponentially decays with n. The solid green lines are guides to the eye.« less

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