Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives

Reichhardt, Charles; Reichhardt, Cynthia Jane

doi:10.1103/PhysRevB.92.224432

Title: Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives

Journal Article · Mon Dec 28 00:00:00 EST 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.92.224432· OSTI ID:1457250

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this work, we numerically study the behavior of two-dimensional skyrmions in the presence of a quasi-one-dimensional sinusoidal substrate under the influence of externally applied dc and ac drives. In the overdamped limit, when both dc and ac drives are aligned in the longitudinal direction parallel to the direction of the substrate modulation, the velocity-force curves exhibit classic Shapiro step features when the frequency of the ac drive matches the washboard frequency that is dynamically generated by the motion of the skyrmions over the substrate, similar to previous observations in superconducting vortex systems. In the case of skyrmions, the additional contribution to the skyrmion motion from a nondissipative Magnus force shifts the location of the locking steps to higher dc drives, and we find that the skyrmions move at an angle with respect to the direction of the dc drive. For a longitudinal dc drive and a perpendicular or transverse ac drive, the overdamped system exhibits no Shapiro steps; however, when a finite Magnus force is present, we find pronounced transverse Shapiro steps along with complex two-dimensional periodic orbits of the skyrmions in the phase-locked regimes. Both the longitudinal and transverse ac drives produce locking steps whose widths oscillate with increasing ac drive amplitude. We examine the role of collective skyrmion interactions and find that additional fractional locking steps occur for both longitudinal and transverse ac drives. Finally, at higher skyrmion densities, the system undergoes a series of dynamical order-disorder transitions, with the skyrmions forming a moving solid on the phase locking steps and a fluctuating dynamical liquid in regimes between the steps.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1457250

Alternate ID(s):: OSTI ID: 1234021

Report Number(s):: LA-UR-15-25180; PRBMDO; TRN: US1901333

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 92, Issue 22; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 31 works

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Motion of skyrmions in nanowires driven by magnonic momentum-transfer forces Zhang, Xichao; Müller, Jan; Xia, Jing arXiv https://doi.org/10.48550/arxiv.1701.02430	text	January 2017
Chiral Edge Currents for ac Driven Skyrmions in Confined Pinning Geometries Reichhardt, C.; Reichhardt, C. J. O. arXiv https://doi.org/10.48550/arxiv.1909.12884	text	January 2019

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