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  • Open Access

Racetrack Computing with a Topological Boundary Ratchet

Parisa Omidvar1, Markus Bestler2, Sima Zahedi Fard1, Oded Zilberberg2,*, and Marc Serra-Garcia1,†

  • *Contact author: oded.zilberberg@uni-konstanz.de
  • Contact author: m.serragarcia@amolf.nl

Phys. Rev. Lett. 136, 166601 – Published 21 April, 2026

DOI: https://doi.org/10.1103/jw9p-s3kk

Abstract

Multistable order parameters provide a natural means of encoding nonvolatile information in spatial domains, a concept that forms the foundation of magnetic memory devices. However, this stability inherently conflicts with the need to move information around the device for processing and readout. While in magnetic systems, domains can be transported using currents or external fields, mechanisms to robustly shuttle information-bearing domains across neutral systems are scarce. Here, we experimentally realize a topological boundary ratchet in an elastic metamaterial, where digital information is encoded in buckling domains and transported in a quantized manner via cyclic loading. The transport is topological in origin: neighboring domains act as different topological pumps for their Bogoliubov excitations, so their interface hosts topological boundary modes. Cyclic loading renders these modes unstable through interdomain pressure, which in turn drives the motion of the domain wall. We demonstrate that the direction of information propagation can be controlled through adjustable mechanical constraints on the buckling beams, and numerically investigate buckling-based domain-wall logic circuits in an elastic metamaterial network. The underlying tight-binding structure with low-order nonlinearities makes this approach a general pathway toward racetrack memories in neutral systems.

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Corrections

16 June, 2026

Correction: A metadata correction to the third author’s name has been made.

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References (60)

  1. J. Backus, Commun. ACM 21, 613 (1978).
  2. K. Bourzac, Nature (London), 10.1038/d41586-024-03408-z (2024).
  3. M. Hayashi, L. Thomas, R. Moriya, C. Rettner, and S. S. Parkin, Science 320, 209 (2008).
  4. S. S. Parkin, M. Hayashi, and L. Thomas, Science 320, 190 (2008).
  5. Z. Luo, A. Hrabec, T. P. Dao, G. Sala, S. Finizio, J. Feng, S. Mayr, J. Raabe, P. Gambardella, and L. J. Heyderman, Nature (London) 579, 214 (2020).
  6. V. T. Pham, N. Sisodia, I. Di Manici, J. Urrestarazu-Larrañaga, K. Bairagi, J. Pelloux-Prayer, R. Guedas, L. D. Buda-Prejbeanu, S. Auffret, A. Locatelli et al., Science 384, 307 (2024).
  7. K. Gu, Y. Guan, B. K. Hazra, H. Deniz, A. Migliorini, W. Zhang, and S. S. Parkin, Nat. Nanotechnol. 17, 1065 (2022).
  8. A. Szameit and M. C. Rechtsman, Nat. Phys. 20, 905 (2024).
  9. M. J. Rice and E. J. Mele, Phys. Rev. Lett. 49, 1455 (1982).
  10. D. J. Thouless, Phys. Rev. B 27, 6083 (1983).
  11. Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Phys. Rev. Lett. 109, 106402 (2012).
  12. M. Lohse, C. Schweizer, O. Zilberberg, M. Aidelsburger, and I. Bloch, Nat. Phys. 12, 350 (2016).
  13. R. Citro and M. Aidelsburger, Nat. Rev. Phys. 5, 87 (2023).
  14. Y. Xia, E. Riva, M. I. Rosa, G. Cazzulani, A. Erturk, F. Braghin, and M. Ruzzene, Phys. Rev. Lett. 126, 095501 (2021).
  15. M. Jürgensen, S. Mukherjee, and M. C. Rechtsman, Nature (London) 596, 63 (2021).
  16. M. Jürgensen, S. Mukherjee, C. Jörg, and M. C. Rechtsman, Nat. Phys. 19, 420 (2023).
  17. L. J. Kwakernaak and M. van Hecke, Phys. Rev. Lett. 130, 268204 (2023).
  18. X. Fang, D. Yu, J. Wen, Y. Dai, M. R. Begley, H. Gao, and P. Gumbsch, Nature (London) 639, 639 (2025).
  19. G. Bordiga, E. Medina, S. Jafarzadeh, C. Bösch, R. P. Adams, V. Tournat, and K. Bertoldi, Nat. Mater. 23, 1486 (2024).
  20. P. Ducarme, B. Weber, M. van Hecke, and J. T. Overvelde, Proc. Natl. Acad. Sci. U.S.A. 122, e2423301122 (2025).
  21. B. Florijn, C. Coulais, and M. van Hecke, Phys. Rev. Lett. 113, 175503 (2014).
  22. K. Huang, Y. Lin, Y. Lai, and X. Liu, Chin. Phys. B 33, 104301 (2024).
  23. See Supplemental Material at http://link.aps.org/supplemental/10.1103/jw9p-s3kk for numerical and experimental methods and additional derivations, which includes Refs. [24–33].
  24. G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. 36, 823 (1930).
  25. A. Rößler, SIAM J. Numer. Anal. 48, 922 (2010).
  26. M. W. Scroggs, I. A. Baratta, C. N. Richardson, and G. N. Wells, J. Open Source Software 7, 3982 (2022).
  27. M. S. Alnæs, A. Logg, K. B. Ølgaard, M. E. Rognes, and G. N. Wells, ACM Trans. Math. Softw. 40, 1 (2014).
  28. I. A. Baratta, J. P. Dean, J. S. Dokken, M. Habera, J. HALE, C. N. Richardson, M. E. Rognes, M. W. Scroggs, N. Sime, and G. N. Wells, DOLFINx: The next generation FEniCS problem solving environment (2023), https://zenodo.org/records/18101307.
  29. M. W. Scroggs, J. S. Dokken, C. N. Richardson, and G. N. Wells, ACM Trans. Math. Softw. 48, 1 (2022).
  30. A. N. Gent, Rubber Chem. Technol. 31, 896 (1958).
  31. G. Chen, Y. Long, S. Yao, S. Tang, J. Luo, H. Wang, Z. Zhang, and H. Jiang, Nat. Commun. 16, 1449 (2025).
  32. D. H. Alsem, R. Timmerman, B. L. Boyce, E. A. Stach, J. T. M. De Hosson, and R. O. Ritchie, J. Appl. Phys. 101, 013515 (2007).
  33. Y. Hatsugai and T. Fukui, Phys. Rev. B 94, 041102(R) (2016).
  34. K. H. Matlack, M. Serra-Garcia, A. Palermo, S. D. Huber, and C. Daraio, Nat. Mater. 17, 323 (2018).
  35. S. Z. Fard, P. Tiso, P. Omidvar, and M. Serra-Garcia, arXiv:2509.01625.
  36. M. Serra-Garcia, A. Foehr, M. Molerón, J. Lydon, C. Chong, and C. Daraio, Phys. Rev. Lett. 117, 010602 (2016).
  37. M. Jürgensen and M. C. Rechtsman, arXiv:2502.14046.
  38. M. Jürgensen and M. C. Rechtsman, Phys. Rev. Lett. 128, 113901 (2022).
  39. N. Mostaan, F. Grusdt, and N. Goldman, Nat. Commun. 13, 5997 (2022).
  40. R. Resta and D. Vanderbilt, Theory of polarization: A modern approach, in Physics of Ferroelectrics: A Modern Perspective (Springer, Berlin, Heidelberg, 2007), pp. 31–68.
  41. M. Bestler and O. Zilberberg, arXiv:2508.12101.
  42. J. Kellendonk, J. Phys. A 37, L161 (2004).
  43. S. Han and B. Feeny, Mech. Syst. Signal Process. 17, 989 (2003).
  44. G. Kerschen, J.-c. Golinval, A. F. Vakakis, and L. A. Bergman, Nonlinear Dyn. 41, 147 (2005).
  45. R. Süsstrunk and S. D. Huber, Science 349, 47 (2015).
  46. A. O. Oyelade, Z. Wang, and G. Hu, Theor. Appl. Mech. Lett. 7, 17 (2017).
  47. A. A. Cantu, A. Luchsinger, R. Schweller, and T. Wylie, Algorithmica 83, 531 (2021).
  48. H. Jaeger, B. Noheda, and W. G. Van Der Wiel, Nat. Commun. 14, 4911 (2023).
  49. M. Aifer, Z. Belateche, S. Bramhavar, K. Y. Camsari, P. J. Coles, G. Crooks, D. J. Durian, A. J. Liu, A. Marchenkova, A. J. Martinez et al., arXiv:2507.10463.
  50. H. Yasuda, P. R. Buskohl, A. Gillman, T. D. Murphey, S. Stepney, R. A. Vaia, and J. R. Raney, Nature (London) 598, 39 (2021).
  51. A. Alù, A. F. Arrieta, E. Del Dottore, M. Dickey, S. Ferracin, R. Harne, H. Hauser, Q. He, J. B. Hopkins, L. P. Hyatt et al., Smart Mater. Struct. 34, 063501 (2025).
  52. T. Mei and C. Q. Chen, Nat. Commun. 14, 5204 (2023).
  53. T. Mei, Z. Meng, K. Zhao, and C. Q. Chen, Nat. Commun. 12, 7234 (2021).
  54. D. Garcia-Sanchez, A. San Paulo, M. J. Esplandiu, F. Perez-Murano, L. Forró, A. Aguasca, and A. Bachtold, Phys. Rev. Lett. 99, 085501 (2007).
  55. S. Stuij, J. M. van Doorn, T. Kodger, J. Sprakel, C. Coulais, and P. Schall, Phys. Rev. Res. 1, 023033 (2019).
  56. Y. Lai, Y. Wu, P. Sheng, and Z.-Q. Zhang, Nat. Mater. 10, 620 (2011).
  57. G. Ma, C. Fu, G. Wang, P. Del Hougne, J. Christensen, Y. Lai, and P. Sheng, Nat. Commun. 7, 13536 (2016).
  58. J. Kellner, A. Sabatti, A. Maeder, and R. Grange, Optica 12, 702 (2025).
  59. T. Song, Y. Jing, C. Shen, H. Chu, J. Luo, R. Jia, C. Wang, M. Xiao, Z.-Q. Zhang, R. Peng et al., Nat. Commun. 16, 8915 (2025).
  60. P. Omidvar, M. Bestler, S. Zahedi Fard, O. Zilberberg, and M. Serra-Garcia, “Replication package for Racetrack computing with a topological boundary ratchet,” 10.5281/zenodo.19268308 (2026).

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