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Ratchet motion of magnetic skyrmions driven by surface acoustic sawtooth waves

Philipp Schwenke*, Ephraim Spindler, Vitaliy I. Vasyuchka, Alexandre Abbass Hamadeh, Philipp Pirro, and Mathias Weiler

  • *Contact author: philipp.schwenke@rptu.de

Phys. Rev. B 112, 214409 – Published 4 December, 2025

DOI: https://doi.org/10.1103/w75m-hlsr

Abstract

The manipulation of skyrmions by surface acoustic waves (SAWs) has garnered significant interest in the field of spintronic devices. Previous studies established that skyrmions can be generated and moved by strain pulses. In this study, we propose that sawtooth-SAWs can be used to drive a ratchet motion of magnetic skyrmions in the presence of pinning centers. This results in a net motion of the skyrmions orthogonal to the continuously applied SAW. The ratchet motion is fundamentally caused by nonvanishing pinning, so that a certain strain gradient magnitude is required to overcome pinning and start skyrmion motion. We demonstrate the feasibility of our concept by micromagnetic simulations and analytical model calculations.

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References (60)

  1. D. Suess, C. Vogler, F. Bruckner, P. Heistracher, and C. Abert, A repulsive skyrmion chain as a guiding track for a racetrack memory, AIP Adv. 8, 115301 (2018).
  2. J. Müller, Magnetic skyrmions on a two-lane racetrack, New J. Phys. 19, 025002 (2017).
  3. S. Luo and L. You, Skyrmion devices for memory and logic applications, APL Mater. 9, 050901 (2021).
  4. B. Göbel and I. Mertig, Skyrmion ratchet propagation: Utilizing the skyrmion Hall effect in AC racetrack storage devices, Sci. Rep. 11, 3020 (2021).
  5. Y. Jiang, H. Yu, and X. Chen, Skyrmion-based racetrack multilevel data storage device manipulated by pinning, J. Appl. Phys. 134, 053901 (2023).
  6. K. M. Song, J.-S. Jeong, B. Pan, X. Zhang, J. Xia, S. Cha, T.-E. Park, K. Kim, S. Finizio, J. Raabe, J. Chang, Y. Zhou, W. Zhao, W. Kang, H. Ju, and S. Woo, Skyrmion-based artificial synapses for neuromorphic computing, Nat. Electron. 3, 148 (2020).
  7. D. Pinna, G. Bourianoff, and K. Everschor-Sitte, Reservoir computing with random skyrmion textures, Phys. Rev. Appl. 14, 054020 (2020).
  8. K. Raab, M. A. Brems, G. Beneke, T. Dohi, J. Rothörl, F. Kammerbauer, J. H. Mentink, and M. Kläui, Brownian reservoir computing realized using geometrically confined skyrmion dynamics, Nat. Commun. 13, 6982 (2022).
  9. M.-K. Lee and M. Mochizuki, Reservoir computing with spin waves in a skyrmion crystal, Phys. Rev. Appl. 18, 014074 (2022).
  10. T. Yokouchi, S. Sugimoto, B. Rana, S. Seki, N. Ogawa, Y. Shiomi, S. Kasai, and Y. Otani, Pattern recognition with neuromorphic computing using magnetic field–induced dynamics of skyrmions, Sci. Adv. 8, eabq5652 (2022).
  11. S. Li, W. Kang, Y. Huang, X. Zhang, Y. Zhou, and W. Zhao, Magnetic skyrmion-based artificial neuron device, Nanotechnology 28, 31LT01 (2017).
  12. N. Cai and Y. Liu, Current-driven skyrmion movement in a curved nanotrack, J. Phys. D 54, 125001 (2021).
  13. H. Zhang, Y. Zhang, Z. Hou, M. Qin, X. Gao, and J. Liu, Magnetic skyrmions: Materials, manipulation, detection, and applications in spintronic devices, Mater. Futures 2, 032201 (2023).
  14. I. Purnama, W. L. Gan, D. W. Wong, and W. S. Lew, Guided current-induced skyrmion motion in 1D potential well, Sci. Rep. 5, 10620 (2015).
  15. R. Chen, C. Chen, L. Han, P. Liu, R. Su, W. Zhu, Y. Zhou, F. Pan, and C. Song, Ordered creation and motion of skyrmions with surface acoustic wave, Nat. Commun. 14, 4427 (2023).
  16. T. Yokouchi, S. Sugimoto, B. Rana, S. Seki, N. Ogawa, S. Kasai, and Y. Otani, Creation of magnetic skyrmions by surface acoustic waves, Nat. Nanotechnol. 15, 361 (2020).
  17. Y. Miyazaki, T. Yokouchi, and Y. Shiomi, Trapping and manipulating skyrmions in two-dimensional films by surface acoustic waves, Sci. Rep. 13, 1922 (2023).
  18. Y. Liu, X. Huo, S. Xuan, and H. Yan, Manipulating movement of skyrmion by strain gradient in a nanotrack, J. Magn. Magn. Mater. 492, 165659 (2019).
  19. Y. Yang, L. Zhao, D. Yi, T. Xu, Y. Chai, C. Zhang, D. Jiang, Y. Ji, D. Hou, W. Jiang, J. Tang, P. Yu, H. Wu, and T. Nan, Acoustic-driven magnetic skyrmion motion, Nat. Commun. 15, 1018 (2024).
  20. J. Shuai, L. Lopez-Diaz, J. E. Cunningham, and T. A. Moore, Transport of skyrmions by surface acoustic waves, Appl. Phys. Lett. 124, 202407 (2024).
  21. A. Koujok, A. Riveros, D. R. Rodrigues, G. Finocchio, M. Weiler, A. Hamadeh, and P. Pirro, Resonant excitation of vortex gyrotropic mode via surface acoustic waves, Appl. Phys. Lett. 123, 132403 (2023).
  22. V. Iurchuk, J. Lindner, J. Fassbender, and A. Kákay, Excitation of the gyrotropic mode in a magnetic vortex by time-varying strain, Phys. Rev. Lett. 133, 146701 (2024).
  23. R. Moukhader, D. R. Rodrigues, A. Riveros, A. Koujok, G. Finocchio, P. Pirro, and A. Hamadeh, Injection locking in dc-driven spintronic vortex oscillators via surface acoustic wave modulation, J. Appl. Phys. 136, 183901 (2024).
  24. R. L. Seeger, F. Millo, G. Soares, J.-V. Kim, A. Solignac, G. de Loubens, and T. Devolder, Experimental observation of vortex gyrotropic mode excited by surface acoustic waves, arXiv:2409.05998.
  25. X. Gong, K. Y. Jing, J. Lu, and X. R. Wang, Skyrmion pinning by disk-shaped defects, Phys. Rev. B 105, 094437 (2022).
  26. R. Gruber, J. Zázvorka, M. A. Brems, D. R. Rodrigues, T. Dohi, N. Kerber, B. Seng, M. Vafaee, K. Everschor-Sitte, P. Virnau, and M. Kläui, Skyrmion pinning energetics in thin film systems, Nat. Commun. 13, 3144 (2022).
  27. D. Stosic, T. B. Ludermir, and M. V. Milošević, Pinning of magnetic skyrmions in a monolayer Co film on Pt(111): Theoretical characterization and exemplified utilization, Phys. Rev. B 96, 214403 (2017).
  28. F. J. R. Schülein, E. Zallo, P. Atkinson, O. G. Schmidt, R. Trotta, A. Rastelli, A. Wixforth, and H. J. Krenner, Fourier synthesis of radiofrequency nanomechanical pulses with different shapes, Nat. Nanotechnol. 10, 512 (2015).
  29. M. Weiß, A. L. Hörner, E. Zallo, P. Atkinson, A. Rastelli, O. G. Schmidt, A. Wixforth, and H. J. Krenner, Multiharmonic frequency-chirped transducers for surface-acoustic-wave optomechanics, Phys. Rev. Appl. 9, 014004 (2018).
  30. W. Wang, D. Song, W. Wei, P. Nan, S. Zhang, B. Ge, M. Tian, J. Zang, and H. Du, Electrical manipulation of skyrmions in a chiral magnet, Nat. Commun. 13, 1593 (2022).
  31. M. C. H. De Jong, B. H. M. Smit, M. J. Meijer, J. Lucassen, H. J. M. Swagten, B. Koopmans, and R. Lavrijsen, Controlling magnetic skyrmion nucleation with Ga + ion irradiation, Phys. Rev. B 107, 094429 (2023).
  32. K. Fallon, S. Hughes, K. Zeissler, W. Legrand, F. Ajejas, D. Maccariello, S. McFadzean, W. Smith, D. McGrouther, S. Collin, N. Reyren, V. Cros, C. H. Marrows, and S. McVitie, Controlled individual skyrmion nucleation at artificial defects formed by ion irradiation, Small 16, 1907450 (2020).
  33. Y. Zhao, J. Wang, L. Xu, P. Yu, M. Hou, F. Meng, S. Xie, Y. Meng, R. Zhu, Z. Hou, M. Yang, J. Luo, J. Wu, Y. Xu, X. Gao, C. Feng, and G. Yu, Local manipulation of skyrmion nucleation in microscale areas of a thin film with nitrogen-ion implantation, ACS Appl. Mater. Interfaces 15, 15004 (2023).
  34. X. Yu, D. Morikawa, Y. Tokunaga, M. Kubota, T. Kurumaji, H. Oike, M. Nakamura, F. Kagawa, Y. Taguchi, T.-h. Arima, M. Kawasaki, and Y. Tokura, Current-Induced nucleation and annihilation of magnetic skyrmions at room temperature in a chiral magnet, Adv. Mater. 29, 1606178 (2017).
  35. W. Akhtar, A. Hrabec, S. Chouaieb, A. Haykal, I. Gross, M. Belmeguenai, M. S. Gabor, B. Shields, P. Maletinsky, A. Thiaville, S. Rohart, and V. Jacques, Current-Induced nucleation and dynamics of skyrmions in a Co-based Heusler alloy, Phys. Rev. Appl. 11, 034066 (2019).
  36. S. Mallick, S. Panigrahy, G. Pradhan, and S. Rohart, Current-Induced nucleation and motion of skyrmions in zero magnetic field, Phys. Rev. Appl. 18, 064072 (2022).
  37. Y. Quessab, J.-W. Xu, E. Cogulu, S. Finizio, J. Raabe, and A. D. Kent, Zero-Field nucleation and fast motion of skyrmions induced by nanosecond current pulses in a ferrimagnetic thin film, Nano Lett. 22, 6091 (2022).
  38. A. Hrabec, J. Sampaio, M. Belmeguenai, I. Gross, R. Weil, S. M. Chérif, A. Stashkevich, V. Jacques, A. Thiaville, and S. Rohart, Current-induced skyrmion generation and dynamics in symmetric bilayers, Nat. Commun. 8, 15765 (2017).
  39. S. Finizio, K. Zeissler, S. Wintz, S. Mayr, T. Weßels, A. J. Huxtable, G. Burnell, C. H. Marrows, and J. Raabe, Deterministic field-free skyrmion nucleation at a nanoengineered injector device, Nano Lett. 19, 7246 (2019).
  40. S. Rohart and A. Thiaville, Skyrmion confinement in ultrathin film nanostructures in the presence of Dzyaloshinskii-moriya interaction, Phys. Rev. B 88, 184422 (2013).
  41. X. S. Wang, H. Y. Yuan, and X. R. Wang, A theory on skyrmion size, Commun. Phys. 1, 31 (2018).
  42. L. Dreher, M. Weiler, M. Pernpeintner, H. Huebl, R. Gross, M. S. Brandt, and S. T. B. Goennenwein, Surface acoustic wave driven ferromagnetic resonance in nickel thin films: Theory and experiment, Phys. Rev. B 86, 134415 (2012).
  43. Y. Jiang, C. Xuan, and H. Yu, Current-driven dynamics of skyrmions in the presence of pinning at finite temperatures, J. Magn. Magn. Mater. 562, 169786 (2022).
  44. D. P. Morgan, Surface Acoustic Wave filters: With Applications to Electronic Communications and Signal Processing, 2nd ed., in Studies in Electrical and Electronic Engineering Series (Elsevier Science & Technology, San Diego, 2010).
  45. M. Weiler, L. Dreher, C. Heeg, H. Huebl, R. Gross, M. S. Brandt, and S. T. B. Goennenwein, Elastically driven ferromagnetic resonance in nickel thin films, Phys. Rev. Lett. 106, 117601 (2011).
  46. M. Weiler, H. Huebl, F. S. Goerg, F. D. Czeschka, R. Gross, and S. T. B. Goennenwein, Spin pumping with coherent elastic waves, Phys. Rev. Lett. 108, 176601 (2012).
  47. R. Gruber, M. A. Brems, J. Rothörl, T. Sparmann, M. Schmitt, I. Kononenko, F. Kammerbauer, M.-A. Syskaki, O. Farago, P. Virnau, and M. Kläui, 300-Times-Increased diffusive skyrmion dynamics and effective pinning reduction by periodic field excitation, Adv. Mater. 35, 2208922 (2023).
  48. A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. Van Waeyenberge, The design and verification of MuMax3, AIP Adv. 4, 107133 (2014).
  49. See www.Aithericon.Com for aithericon.
  50. K.-W. Kim, K.-W. Moon, N. Kerber, J. Nothhelfer, and K. Everschor-Sitte, Asymmetric skyrmion Hall effect in systems with a hybrid Dzyaloshinskii-Moriya interaction, Phys. Rev. B 97, 224427 (2018).
  51. S. Woo, K. M. Song, X. Zhang, Y. Zhou, M. Ezawa, X. Liu, S. Finizio, J. Raabe, N. J. Lee, S.-I. Kim, S.-Y. Park, Y. Kim, J.-Y. Kim, D. Lee, O. Lee, J. W. Choi, B.-C. Min, H. C. Koo, and J. Chang, Current-driven dynamics and inhibition of the skyrmion Hall effect of ferrimagnetic skyrmions in GdFeCo films, Nat. Commun. 9, 959 (2018).
  52. R. Brearton, L. A. Turnbull, J. a. T. Verezhak, G. Balakrishnan, P. D. Hatton, G. van der Laan, and T. Hesjedal, Deriving the skyrmion Hall angle from skyrmion lattice dynamics, Nat. Commun. 12, 2723 (2021).
  53. W. Jiang, X. Zhang, G. Yu, W. Zhang, X. Wang, M. Benjamin Jungfleisch, J. E. Pearson, X. Cheng, O. Heinonen, K. L. Wang, Y. Zhou, A. Hoffmann, and S. G. E. te Velthuis, Direct observation of the skyrmion Hall effect, Nat. Phys. 13, 162 (2017).
  54. S. Yang, Y. Zhao, X. Zhang, X. Xing, H. Du, X. Li, M. Mochizuki, X. Xu, J. Åkerman, and Y. Zhou, Fundamentals and applications of the skyrmion Hall effect, Appl. Phys. Rev. 11, 041335 (2024).
  55. G. Chen, Skyrmion Hall effect, Nat. Phys. 13, 112 (2017).
  56. K. Litzius, I. Lemesh, B. Krüger, P. Bassirian, L. Caretta, K. Richter, F. Büttner, K. Sato, O. A. Tretiakov, J. Förster, R. M. Reeve, M. Weigand, I. Bykova, H. Stoll, G. Schütz, G. S. D. Beach, and M. Kläui, Skyrmion Hall effect revealed by direct time-resolved x-ray microscopy, Nat. Phys. 13, 170 (2017).
  57. See Supplemental Material at http://link.aps.org/supplemental/10.1103/w75m-hlsr for detailed information on the skyrmion motion over time when applying a sinusoidal and sawtooth-shaped saw to the skyrmion in a chain pinning and more realistic random grain pinning landscape.
  58. M. F. Ashby, Material property charts, in Materials Selection in Mechanical Design (Fourth Edition), edited by M. F. Ashby (Butterworth-Heinemann, Oxford, 2011), Chap. 4, pp. 57–96.
  59. V. Kavalerov, T. Fujii, and M. Inoue, Observation of highly nonlinear surface-acoustic waves on single crystal lithium–niobate plates by means of an optical sampling probe, J. Appl. Phys. 87, 907 (2000).
  60. P. Schwenke, E. Spindler, V. Vasyuchka, A. Hamadeh, P. Pirro, and M. Weiler, Ratchet motion of magnetic skyrmions driven by surface acoustic sawtooth waves [Data set], Zenodo (2025), doi:10.5281/zenodo.17747449.

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