Skyrmion pinball and directed motion on obstacle arrays
Abstract
Abstract We examine skyrmions interacting with a square array of obstacles under ac drives applied in one or two directions. For a single direction of ac driving, we find that the Magnus force in conjunction with the obstacle interactions can create elliptical skyrmion orbits of increasing size, leading to localized phases, chaotic phases, and translating or ratcheting orbits. Under two ac drives that are out of phase by 90° and applied in two directions, the skyrmions form localized commensurate orbits that encircle an integer number of obstacles, similar to the electron pinball effect observed for electrons in antidot lattices. As a function of ac amplitude, Magnus force strength, and obstacle size, we find that chaotic scattering regimes and directed motion can emerge even in the absence of asymmetry in the substrate. The directed motion follows different symmetry axes of the periodic substrate, and we observe a variety of reversed ratchet effects. The Magnus force in the skyrmion system produces a significantly larger number of directed motion regimes than are exhibited by overdamped systems. We discuss how these results could be used to move skyrmions in a controlled way for possible applications.
- Authors:
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); São Paulo Research Foundation (FAPESP)
- OSTI Identifier:
- 1646550
- Alternate Identifier(s):
- OSTI ID: 1864990
- Report Number(s):
- LA-UR-20-23086
Journal ID: ISSN 2399-6528
- Grant/Contract Number:
- 89233218CNA000001; 2018/13198-7
- Resource Type:
- Published Article
- Journal Name:
- Journal of Physics Communications
- Additional Journal Information:
- Journal Name: Journal of Physics Communications Journal Volume: 4 Journal Issue: 8; Journal ID: ISSN 2399-6528
- Publisher:
- IOP Publishing
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; mathematics; skyrmion; periodic pinning; ac driving
Citation Formats
Vizarim, N. P., Reichhardt, C. J. O., Venegas, P. A., and Reichhardt, C. Skyrmion pinball and directed motion on obstacle arrays. United Kingdom: N. p., 2020.
Web. doi:10.1088/2399-6528/aba9fb.
Vizarim, N. P., Reichhardt, C. J. O., Venegas, P. A., & Reichhardt, C. Skyrmion pinball and directed motion on obstacle arrays. United Kingdom. https://doi.org/10.1088/2399-6528/aba9fb
Vizarim, N. P., Reichhardt, C. J. O., Venegas, P. A., and Reichhardt, C. Thu .
"Skyrmion pinball and directed motion on obstacle arrays". United Kingdom. https://doi.org/10.1088/2399-6528/aba9fb.
@article{osti_1646550,
title = {Skyrmion pinball and directed motion on obstacle arrays},
author = {Vizarim, N. P. and Reichhardt, C. J. O. and Venegas, P. A. and Reichhardt, C.},
abstractNote = {Abstract We examine skyrmions interacting with a square array of obstacles under ac drives applied in one or two directions. For a single direction of ac driving, we find that the Magnus force in conjunction with the obstacle interactions can create elliptical skyrmion orbits of increasing size, leading to localized phases, chaotic phases, and translating or ratcheting orbits. Under two ac drives that are out of phase by 90° and applied in two directions, the skyrmions form localized commensurate orbits that encircle an integer number of obstacles, similar to the electron pinball effect observed for electrons in antidot lattices. As a function of ac amplitude, Magnus force strength, and obstacle size, we find that chaotic scattering regimes and directed motion can emerge even in the absence of asymmetry in the substrate. The directed motion follows different symmetry axes of the periodic substrate, and we observe a variety of reversed ratchet effects. The Magnus force in the skyrmion system produces a significantly larger number of directed motion regimes than are exhibited by overdamped systems. We discuss how these results could be used to move skyrmions in a controlled way for possible applications.},
doi = {10.1088/2399-6528/aba9fb},
journal = {Journal of Physics Communications},
number = 8,
volume = 4,
place = {United Kingdom},
year = {Thu Aug 06 00:00:00 EDT 2020},
month = {Thu Aug 06 00:00:00 EDT 2020}
}
https://doi.org/10.1088/2399-6528/aba9fb
Works referenced in this record:
Experimental evidence for predicted magnetotransport anomalies in rectangular superlattices
journal, July 2005
- Geisler, M. C.; Chowdhury, S.; Smet, J. H.
- Physical Review B, Vol. 72, Issue 4
Magnus-induced dynamics of driven skyrmions on a quasi-one-dimensional periodic substrate
journal, September 2016
- Reichhardt, C.; Reichhardt, C. J. Olson
- Physical Review B, Vol. 94, Issue 9
Emergent geometric frustration of artificial magnetic skyrmion crystals
journal, October 2016
- Ma, Fusheng; Reichhardt, C.; Gan, Weiliang
- Physical Review B, Vol. 94, Issue 14
Probing the pinning strength of magnetic vortex cores with sub-nanometer resolution
journal, June 2020
- Holl, Christian; Knol, Marvin; Pratzer, Marco
- Nature Communications, Vol. 11, Issue 1
Plastic flow and the skyrmion Hall effect
journal, February 2020
- Reichhardt, C.; Reichhardt, C. J. O.
- Nature Communications, Vol. 11, Issue 1
Geometric resonances in the magnetoresistance of hexagonal lateral superlattices
journal, December 2012
- Kato, Yuto; Endo, Akira; Katsumoto, Shingo
- Physical Review B, Vol. 86, Issue 23
Collective Transport Properties of Driven Skyrmions with Random Disorder
journal, May 2015
- Reichhardt, C.; Ray, D.; Reichhardt, C. J. Olson
- Physical Review Letters, Vol. 114, Issue 21
Topological protection of multiparticle dissipative transport
journal, June 2016
- Loehr, Johannes; Loenne, Michael; Ernst, Adrian
- Nature Communications, Vol. 7, Issue 1
Absolute transverse mobility and ratchet effect on periodic two-dimensional symmetric substrates
journal, October 2003
- Reichhardt, C.; Olson Reichhardt, C. J.
- Physical Review E, Vol. 68, Issue 4
Cyclotron Orbits of Composite Fermions in the Fractional Quantum Hall Regime
journal, January 2018
- Jo, Insun; Deng, Hao; Liu, Yang
- Physical Review Letters, Vol. 120, Issue 1
Skyrmion-based artificial synapses for neuromorphic computing
journal, March 2020
- Song, Kyung Mee; Jeong, Jae-Seung; Pan, Biao
- Nature Electronics, Vol. 3, Issue 3
Trochoidal motion and pair generation in skyrmion and antiskyrmion dynamics under spin–orbit torques
journal, August 2018
- Ritzmann, Ulrike; von Malottki, Stephan; Kim, Joo-Von
- Nature Electronics, Vol. 1, Issue 8
Commensurability effects in hexagonal antidot lattices with large antidot diameters
journal, July 2005
- Meckler, S.; Heinzel, T.; Cavanna, A.
- Physical Review B, Vol. 72, Issue 3
Observation of room-temperature magnetic skyrmions and their current-driven dynamics in ultrathin metallic ferromagnets
journal, February 2016
- Woo, Seonghoon; Litzius, Kai; Krüger, Benjamin
- Nature Materials, Vol. 15, Issue 5
Current-Driven Skyrmion Dynamics and Drive-Dependent Skyrmion Hall Effect in an Ultrathin Film
journal, October 2019
- Juge, Roméo; Je, Soong-Geun; Chaves, Dayane de Souza
- Physical Review Applied, Vol. 12, Issue 4
Analytical modeling of the interaction between skyrmions and extended defects
journal, August 2019
- González-Gómez, Leonardo; Castell-Queralt, Josep; Del-Valle, Nuria
- Physical Review B, Vol. 100, Issue 5
Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives
journal, December 2015
- Reichhardt, C.; Reichhardt, C. J. Olson
- Physical Review B, Vol. 92, Issue 22
Skyrmion Hall effect revealed by direct time-resolved X-ray microscopy
journal, December 2016
- Litzius, Kai; Lemesh, Ivan; Krüger, Benjamin
- Nature Physics, Vol. 13, Issue 2
Tunable room-temperature magnetic skyrmions in Ir/Fe/Co/Pt multilayers
journal, July 2017
- Soumyanarayanan, Anjan; Raju, M.; Gonzalez Oyarce, A. L.
- Nature Materials, Vol. 16, Issue 9
Skyrmion dynamics and transverse mobility: skyrmion Hall angle reversal on 2D periodic substrates with dc and biharmonic ac drives
journal, June 2020
- Vizarim, Nicolas P.; Reichhardt, Cynthia J. O.; Venegas, Pablo A.
- The European Physical Journal B, Vol. 93, Issue 6
Topological properties and dynamics of magnetic skyrmions
journal, December 2013
- Nagaosa, Naoto; Tokura, Yoshinori
- Nature Nanotechnology, Vol. 8, Issue 12
Electron trajectories and magnetotransport in nanopatterned graphene under commensurability conditions
journal, August 2017
- Power, Stephen R.; Thomsen, Morten Rishøj; Jauho, Antti-Pekka
- Physical Review B, Vol. 96, Issue 7
Ballistic Transport in Graphene Antidot Lattices
journal, November 2015
- Sandner, Andreas; Preis, Tobias; Schell, Christian
- Nano Letters, Vol. 15, Issue 12
Analytical trajectories of skyrmions in confined geometries: Skyrmionic racetracks and nano-oscillators
journal, November 2016
- Navau, Carles; Del-Valle, Nuria; Sanchez, Alvaro
- Physical Review B, Vol. 94, Issue 18
Electron pinball and commensurate orbits in a periodic array of scatterers
journal, May 1991
- Weiss, D.; Roukes, M. L.; Menschig, A.
- Physical Review Letters, Vol. 66, Issue 21
Skyrmion ratchet effect driven by a biharmonic force
journal, February 2019
- Chen, Weijin; Liu, Linjie; Ji, Ye
- Physical Review B, Vol. 99, Issue 6
Slow steady flow of a skyrmion lattice in a confined geometry probed by narrow-band resistance noise
journal, September 2019
- Sato, Takuro; Koshibae, Wataru; Kikkawa, Akiko
- Physical Review B, Vol. 100, Issue 9
Vortex pinball under crossed ac drives in superconductors with periodic pinning arrays
journal, February 2002
- Reichhardt, C.; Olson, C. J.
- Physical Review B, Vol. 65, Issue 10
Real-space observation of a two-dimensional skyrmion crystal
journal, June 2010
- Yu, X. Z.; Onose, Y.; Kanazawa, N.
- Nature, Vol. 465, Issue 7300
Static and Dynamical Properties of Antiferromagnetic Skyrmions in the Presence of Applied Current and Temperature
journal, April 2016
- Barker, Joseph; Tretiakov, Oleg A.
- Physical Review Letters, Vol. 116, Issue 14
Quantized periodic orbits in large antidot arrays
journal, June 1993
- Weiss, D.; Richter, K.; Menschig, A.
- Physical Review Letters, Vol. 70, Issue 26
Brownian motors: noisy transport far from equilibrium
journal, April 2002
- Reimann, Peter
- Physics Reports, Vol. 361, Issue 2-4
Current-driven dynamics and inhibition of the skyrmion Hall effect of ferrimagnetic skyrmions in GdFeCo films
journal, March 2018
- Woo, Seonghoon; Song, Kyung Mee; Zhang, Xichao
- Nature Communications, Vol. 9, Issue 1
Magnetoresistance of antidot lattices with grain boundaries
journal, June 2008
- Klinkhammer, S.; Xu, Hengyi; Heinzel, T.
- Physical Review B, Vol. 77, Issue 23
Skyrmion dynamics and topological sorting on periodic obstacle arrays
journal, May 2020
- Vizarim, N. P.; Reichhardt, C.; Reichhardt, C. J. O.
- New Journal of Physics, Vol. 22, Issue 5
Reversible vector ratchets for skyrmion systems
journal, March 2017
- Ma, X.; Reichhardt, C. J. Olson; Reichhardt, C.
- Physical Review B, Vol. 95, Issue 10
Current-driven skyrmion dynamics in disordered films
journal, March 2017
- Kim, Joo-Von; Yoo, Myoung-Woo
- Applied Physics Letters, Vol. 110, Issue 13
Collective transport properties of skyrmions on the depinning phase transition
journal, August 2019
- Xiong, L.; Zheng, B.; Jin, M. H.
- Physical Review B, Vol. 100, Issue 6
Skyrmion Lattice in a Chiral Magnet
journal, February 2009
- Muhlbauer, S.; Binz, B.; Jonietz, F.
- Science, Vol. 323, Issue 5916
A strategy for the design of skyrmion racetrack memories
journal, October 2014
- Tomasello, R.; Martinez, E.; Zivieri, R.
- Scientific Reports, Vol. 4, Issue 1
Magnus-induced ratchet effects for skyrmions interacting with asymmetric substrates
journal, July 2015
- Reichhardt, C.; Ray, D.; Reichhardt, C. J. Olson
- New Journal of Physics, Vol. 17, Issue 7
Colloidal topological insulators
journal, February 2018
- Loehr, Johannes; de las Heras, Daniel; Jarosz, Adam
- Communications Physics, Vol. 1, Issue 1
Universal current-velocity relation of skyrmion motion in chiral magnets
journal, February 2013
- Iwasaki, Junichi; Mochizuki, Masahito; Nagaosa, Naoto
- Nature Communications, Vol. 4, Issue 1
Real-space Berry phases: Skyrmion soccer (invited)
journal, May 2014
- Everschor-Sitte, Karin; Sitte, Matthias
- Journal of Applied Physics, Vol. 115, Issue 17
Commensurability Oscillations of Composite Fermions Induced by the Periodic Potential of a Wigner Crystal
journal, August 2016
- Deng, H.; Liu, Y.; Jo, I.
- Physical Review Letters, Vol. 117, Issue 9
Lissajous Rocking Ratchet: Realization in a Semiconductor Quantum Dot
journal, September 2015
- Platonov, Sergey; Kästner, Bernd; Schumacher, Hans W.
- Physical Review Letters, Vol. 115, Issue 10
Skyrmion flow near room temperature in an ultralow current density
journal, January 2012
- Yu, X. Z.; Kanazawa, N.; Zhang, W. Z.
- Nature Communications, Vol. 3, Issue 1
Nonmonotonic Classical Magnetoconductivity of a Two-Dimensional Electron Gas in a Disordered Array of Obstacles
journal, February 2018
- Siboni, N. H.; Schluck, J.; Pierz, K.
- Physical Review Letters, Vol. 120, Issue 5
Microfluidic sorting in an optical lattice
journal, November 2003
- MacDonald, M. P.; Spalding, G. C.; Dholakia, K.
- Nature, Vol. 426, Issue 6965
Magnetic antiskyrmions above room temperature in tetragonal Heusler materials
journal, August 2017
- Nayak, Ajaya K.; Kumar, Vivek; Ma, Tianping
- Nature, Vol. 548, Issue 7669
Universality of defect-skyrmion interaction profiles
journal, October 2018
- Lima Fernandes, Imara; Bouaziz, Juba; Blügel, Stefan
- Nature Communications, Vol. 9, Issue 1
Manipulation of magnetic skyrmions by superconducting vortices in ferromagnet-superconductor heterostructures
journal, July 2019
- Menezes, Raí M.; Neto, José F. S.; Silva, Clécio C. de Souza
- Physical Review B, Vol. 100, Issue 1
Magnetic skyrmions: advances in physics and potential applications
journal, June 2017
- Fert, Albert; Reyren, Nicolas; Cros, Vincent
- Nature Reviews Materials, Vol. 2, Issue 7
Directing Brownian Motion on a Periodic Surface
journal, March 2009
- Speer, David; Eichhorn, Ralf; Reimann, Peter
- Physical Review Letters, Vol. 102, Issue 12
Current-driven dynamics of skyrmions stabilized in MnSi nanowires revealed by topological Hall effect
journal, September 2015
- Liang, Dong; DeGrave, John P.; Stolt, Matthew J.
- Nature Communications, Vol. 6, Issue 1
Detailed analysis of the commensurability peak in antidot arrays with various periods
journal, June 1997
- Ishizaka, Satoshi; Ando, Tsuneya
- Physical Review B, Vol. 55, Issue 24
Building traps for skyrmions by the incorporation of magnetic defects into nanomagnets: Pinning and scattering traps by magnetic properties engineering
journal, June 2019
- Toscano, D.; Leonel, S. A.; Coura, P. Z.
- Journal of Magnetism and Magnetic Materials, Vol. 480
Perspective: Magnetic skyrmions—Overview of recent progress in an active research field
journal, December 2018
- Everschor-Sitte, K.; Masell, J.; Reeve, R. M.
- Journal of Applied Physics, Vol. 124, Issue 24
Ballistic geometric resistance resonances in a single surface of a topological insulator
journal, December 2017
- Maier, Hubert; Ziegler, Johannes; Fischer, Ralf
- Nature Communications, Vol. 8, Issue 1
Room-Temperature Current-Induced Generation and Motion of sub-100 nm Skyrmions
journal, March 2017
- Legrand, William; Maccariello, Davide; Reyren, Nicolas
- Nano Letters, Vol. 17, Issue 4
Diameter-independent skyrmion Hall angle observed in chiral magnetic multilayers
journal, January 2020
- Zeissler, Katharina; Finizio, Simone; Barton, Craig
- Nature Communications, Vol. 11, Issue 1
The role of temperature and drive current in skyrmion dynamics
journal, January 2020
- Litzius, Kai; Leliaert, Jonathan; Bassirian, Pedram
- Nature Electronics, Vol. 3, Issue 1
Room-temperature stabilization of antiferromagnetic skyrmions in synthetic antiferromagnets
journal, September 2019
- Legrand, William; Maccariello, Davide; Ajejas, Fernando
- Nature Materials, Vol. 19, Issue 1
Shapiro steps and nonlinear skyrmion Hall angles for dc and ac driven skyrmions on a two-dimensional periodic substrate
journal, September 2020
- Vizarim, N. P.; Reichhardt, C.; Venegas, P. A.
- Physical Review B, Vol. 102, Issue 10
Emergent electrodynamics of skyrmions in a chiral magnet
journal, February 2012
- Schulz, T.; Ritz, R.; Bauer, A.
- Nature Physics, Vol. 8, Issue 4
Commensurate states and pattern switching via liquid crystal skyrmions trapped in a square lattice
journal, January 2020
- Duzgun, A.; Nisoli, C.; Reichhardt, C. J. O.
- Soft Matter, Vol. 16, Issue 13
Direct observation of the skyrmion Hall effect
journal, September 2016
- Jiang, Wanjun; Zhang, Xichao; Yu, Guoqiang
- Nature Physics, Vol. 13, Issue 2
Formation of Néel-type skyrmions in an antidot lattice with perpendicular magnetic anisotropy
journal, October 2019
- Saha, S.; Zelent, M.; Finizio, S.
- Physical Review B, Vol. 100, Issue 14
Structural transitions and dynamical regimes for directional locking of vortices and colloids driven over periodic substrates
journal, May 2012
- Reichhardt, C.; Olson Reichhardt, C. J.
- Journal of Physics: Condensed Matter, Vol. 24, Issue 22
Localized and Delocalized Motion of Colloidal Particles on a Magnetic Bubble Lattice
journal, July 2007
- Tierno, Pietro; Johansen, Tom H.; Fischer, Thomas M.
- Physical Review Letters, Vol. 99, Issue 3