Shapiro spikes and negative mobility for skyrmion motion on quasi-one-dimensional periodic substrates

Reichhardt, Charles; Olson Reichhardt, Cynthia Jane

doi:10.1103/PhysRevB.95.014412

Title: Shapiro spikes and negative mobility for skyrmion motion on quasi-one-dimensional periodic substrates

Journal Article · Thu Jan 12 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.014412· OSTI ID:1438103

Reichhardt, Charles ^[1]; Olson Reichhardt, Cynthia Jane ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division and Center for Nonlinear Studies

Using a simple numerical model of skyrmions in a two-dimensional system interacting with a quasi-one-dimensional periodic substrate under combined dc and ac drives where the dc drive is applied perpendicular to the substrate periodicity, we show that a rich variety of novel phase-locking dynamics can occur due to the influence of the Magnus term on the skyrmion dynamics. Instead of Shapiro steps, the velocity response in the direction of the dc drive exhibits a series of spikes, including extended dc drive intervals over which the skyrmions move in the direction opposite to the dc drive, producing negative mobility. Also, there are specific dc drive values at which the skyrmions move exactly perpendicular to the dc drive direction, giving a condition of absolute transverse mobility.

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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:: 1438103

Alternate ID(s):: OSTI ID: 1339181

Report Number(s):: LA-UR-16-24573; LA-UR-18-30668; PRBMDO; TRN: US1900399

Journal Information:: Physical Review B, Vol. 95, Issue 1; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

Citation information provided by
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References (30)

Josephson Currents in Superconducting Tunneling: The Effect of Microwaves and Other Observations Shapiro, Sidney Physical Review Letters, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevLett.11.80	journal	July 1963
Kinetically Locked-In Colloidal Transport in an Array of Optical Tweezers Korda, Pamela T.; Taylor, Michael B.; Grier, David G. Physical Review Letters, Vol. 89, Issue 12 https://doi.org/10.1103/PhysRevLett.89.128301	journal	September 2002
Quantized transport for a skyrmion moving on a two-dimensional periodic substrate Reichhardt, C.; Ray, D.; Reichhardt, C. J. Olson Physical Review B, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevB.91.104426	journal	March 2015
Particle model for skyrmions in metallic chiral magnets: Dynamics, pinning, and creep Lin, Shi-Zeng; Reichhardt, Charles; Batista, Cristian D. Physical Review B, Vol. 87, Issue 21 https://doi.org/10.1103/PhysRevB.87.214419	journal	June 2013
Phase-locking of vortex lattices interacting with periodic pinning Reichhardt, Charles; Scalettar, Richard T.; Zimányi, Gergely T. Physical Review B, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevB.61.R11914	journal	May 2000
Skyrmions on the track Fert, Albert; Cros, Vincent; Sampaio, João Nature Nanotechnology, Vol. 8, Issue 3 https://doi.org/10.1038/nnano.2013.29	journal	March 2013
Skyrmion Lattice in a Chiral Magnet Muhlbauer, S.; Binz, B.; Jonietz, F. Science, Vol. 323, Issue 5916 https://doi.org/10.1126/science.1166767	journal	February 2009
Collective Transport Properties of Driven Skyrmions with Random Disorder Reichhardt, C.; Ray, D.; Reichhardt, C. J. Olson Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.217202	journal	May 2015
Brownian Motion Exhibiting Absolute Negative Mobility Eichhorn, Ralf; Reimann, Peter; Hänggi, Peter Physical Review Letters, Vol. 88, Issue 19 https://doi.org/10.1103/PhysRevLett.88.190601	journal	April 2002
Magnus-induced ratchet effects for skyrmions interacting with asymmetric substrates Reichhardt, C.; Ray, D.; Reichhardt, C. J. Olson New Journal of Physics, Vol. 17, Issue 7 https://doi.org/10.1088/1367-2630/17/7/073034	journal	July 2015
Universal current-velocity relation of skyrmion motion in chiral magnets Iwasaki, Junichi; Mochizuki, Masahito; Nagaosa, Naoto Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2442	journal	February 2013
Absolute transverse mobility and ratchet effect on periodic two-dimensional symmetric substrates Reichhardt, C.; Olson Reichhardt, C. J. Physical Review E, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevE.68.046102	journal	October 2003
The dynamics of charge-density waves Grüner, G. Reviews of Modern Physics, Vol. 60, Issue 4 https://doi.org/10.1103/RevModPhys.60.1129	journal	October 1988
Capturing of a magnetic skyrmion with a hole Müller, Jan; Rosch, Achim Physical Review B, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevB.91.054410	journal	February 2015
Coupled Brownian motors: Anomalous hysteresis and zero-bias negative conductance Reimann, P.; Kawai, R.; Broeck, C. Van den Europhysics Letters (EPL), Vol. 45, Issue 5 https://doi.org/10.1209/epl/i1999-00202-4	journal	March 1999
Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives Reichhardt, C.; Reichhardt, C. J. Olson Physical Review B, Vol. 92, Issue 22 https://doi.org/10.1103/PhysRevB.92.224432	journal	December 2015
Skyrmion Hall effect revealed by direct time-resolved X-ray microscopy Litzius, Kai; Lemesh, Ivan; Krüger, Benjamin Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys4000	journal	December 2016
Microscopic dynamics of synchronization in driven colloids Juniper, Michael P. N.; Straube, Arthur V.; Besseling, Rut Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8187	journal	May 2015
Absolute negative particle mobility Ros, Alexandra; Eichhorn, Ralf; Regtmeier, Jan Nature, Vol. 436, Issue 7053 https://doi.org/10.1038/436928a	journal	August 2005
Irrational Mode Locking in Quasiperiodic Systems Thomas, Creighton K.; Middleton, A. Alan Physical Review Letters, Vol. 98, Issue 14 https://doi.org/10.1103/PhysRevLett.98.148001	journal	April 2007
Fractional giant Shapiro steps and spatially correlated phase motion in 2D Josephson arrays Benz, S. P.; Rzchowski, M. S.; Tinkham, M. Physical Review Letters, Vol. 64, Issue 6 https://doi.org/10.1103/PhysRevLett.64.693	journal	February 1990
Current-driven dynamics of skyrmions stabilized in MnSi nanowires revealed by topological Hall effect Liang, Dong; DeGrave, John P.; Stolt, Matthew J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9217	journal	September 2015
Topological properties and dynamics of magnetic skyrmions Nagaosa, Naoto; Tokura, Yoshinori Nature Nanotechnology, Vol. 8, Issue 12 https://doi.org/10.1038/nnano.2013.243	journal	December 2013
Physics and Applications of the Josephson Effect Barone, Antonio; Paternò, Gianfranco https://doi.org/10.1002/352760278X	book	July 1982
Blowing magnetic skyrmion bubbles Jiang, W.; Upadhyaya, P.; Zhang, W. Science, Vol. 349, Issue 6245 https://doi.org/10.1126/science.aaa1442	journal	June 2015
Shapiro steps in a superconducting film with an antidot lattice Van Look, L.; Rosseel, E.; Van Bael, M. J. Physical Review B, Vol. 60, Issue 10 https://doi.org/10.1103/PhysRevB.60.R6998	journal	September 1999
Emergent electrodynamics of skyrmions in a chiral magnet Schulz, T.; Ritz, R.; Bauer, A. Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2231	journal	February 2012
Josephson Oscillation of a Moving Vortex Lattice Martinoli, P.; Daldini, O.; Leemann, C. Physical Review Letters, Vol. 36, Issue 7 https://doi.org/10.1103/PhysRevLett.36.382	journal	February 1976
Real-space observation of a two-dimensional skyrmion crystal Yu, X. Z.; Onose, Y.; Kanazawa, N. Nature, Vol. 465, Issue 7300 https://doi.org/10.1038/nature09124	journal	June 2010
Direct observation of the skyrmion Hall effect Jiang, Wanjun; Zhang, Xichao; Yu, Guoqiang Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys3883	journal	September 2016

Cited By (7)

Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows Wu, Jian-Chun; An, Meng; Ma, Wei-Gang Soft Matter, Vol. 15, Issue 36 https://doi.org/10.1039/c9sm00853e	journal	January 2019
Chiral edge currents for ac-driven skyrmions in confined pinning geometries Reichhardt, C.; Reichhardt, C. J. O. Physical Review B, Vol. 100, Issue 17 https://doi.org/10.1103/physrevb.100.174414	journal	November 2019
Disordering, clustering, and laning transitions in particle systems with dispersion in the Magnus term Reichhardt, C. J. O.; Reichhardt, C. Physical Review E, Vol. 99, Issue 1 https://doi.org/10.1103/physreve.99.012606	journal	January 2019
Inertial effects in the dc+ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis Tekić, J.; Botha, A. E.; Mali, P. Physical Review E, Vol. 99, Issue 2 https://doi.org/10.1103/physreve.99.022206	journal	February 2019
Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term Reichhardt, C. J. O.; Reichhardt, C. arXiv https://doi.org/10.48550/arxiv.1810.10648	text	January 2018
Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows Wu, Jian-Chun; An, Meng; Ma, Wei-Gang arXiv https://doi.org/10.48550/arxiv.1902.08947	text	January 2019
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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