Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Coexisting mechanisms of thermally driven magnetization reversal in shakti spin ice systems

Vladyslav M. Kuchkin1,*, Unnar B. Arnalds2, Hannes Jónsson2, and Pavel F. Bessarab2,3,†

  • *Contact author: vladyslav.kuchkin@uni.lu
  • †Contact author: pavel.bessarab@lnu.se

Phys. Rev. Research 7, 033209 – Published 2 September, 2025

DOI: https://doi.org/10.1103/pr2y-dfbd

Abstract

The switching mechanisms in artificial spin ice systems are investigated with focus on shakti and vertex-modified shakti lattices. Minimum energy paths are calculated using the geodesic nudged elastic band method implemented with a micromagnetic description of the system, including the internal magnetic structure of the islands and edge deviations. Two switching mechanisms, uniform magnetization rotation and domain wall formation, are found to have comparable activation energies. The preference for one over the other depends strongly on the saturation magnetization and the magnetic ordering of neighboring islands. Surprisingly, these mechanisms can coexist, leading to an enhanced probability of magnetization reversal. These results provide valuable insight that can help control internal magnetization switching processes in spin ice systems and help predict their thermodynamic properties.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (43)

  1. R. F. Wang, C. Nisoli, R. S. Freitas, J. Li, W. McConville, B. J. Cooley, M. S. Lund, N. Samarth, C. Leighton, V. H. Crespi, and P. Schiffer, Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands, Nature (London) 439, 303 (2006).
  2. L. J. Heyderman and R. L. Stamps, Artificial ferroic systems: Novel functionality from structure, interactions and dynamics, J. Phys.: Condens. Matter 25, 363201 (2013).
  3. I. Gilbert, C. Nisoli, and P. Schiffer, Frustration by design, Phys. Today 69, 54 (2016).
  4. C. Nisoli, V. Kapaklis, and P. Schiffer, Deliberate exotic magnetism via frustration and topology, Nat. Phys. 13, 200 (2017).
  5. C. Rodríguez-Gallo, A. Ortiz-Ambriz, C. Nisoli, and P. Tierno, Geometrical control of topological charge transfer in shakti-Cairo colloidal ice, Commun. Phys. 6, 113 (2023).
  6. P. Schiffer and C. Nisoli, Artificial spin ice: Paths forward, Appl. Phys. Lett. 118, 110501 (2021).
  7. J. C. Gartside, K. D. Stenning, A. Vanstone, H. H. Holder, D. M. Arroo, T. Dion, F. Caravelli, H. Kurebayashi, and W. R. Branford, Reconfigurable training and reservoir computing in an artificial spin-vortex ice via spin-wave fingerprinting, Nat. Nanotechnol. 17, 460 (2022).
  8. W. Hu, Z. Zhang, Y. Liao, Q. Li, Y. Shi, H. Zhang, X. Zhang, C. Niu, Y. Wu, W. Yu, X. Zhou, H. Guo, W. Wang, J. Xiao, L. Yin, Q. Liu, and J. Shen, Distinguishing artificial spin ice states using magnetoresistance effect for neuromorphic computing, Nat. Commun. 14, 2562 (2023).
  9. A. D. King, C. Nisoli, E. D. Dahl, G. Poulin-Lamarre, and A. Lopez-Bezanilla, Qubit spin ice, Science 373, 576 (2021).
  10. S. H. Skjærvø, C. H. Marrows, R. L. Stamps, and L. J. Heyderman, Advances in artificial spin ice, Nat. Rev. Phys. 2, 13 (2020).
  11. E. Östman, H. Stopfel, I.-A. Chioar, U. B. Arnalds, A. Stein, V. Kapaklis, and B. Hjörvarsson, Interaction modifiers in artificial spin ices, Nat. Phys. 14, 375 (2018).
  12. M. J. Morrison, T. R. Nelson, and C. Nisoli, Unhappy vertices in artificial spin ice: New degeneracies from vertex frustration, New J. Phys. 15, 045009 (2013).
  13. U. B. Arnalds, J. Chico, H. Stopfel, V. Kapaklis, O. Bärenbold, M. A. Verschuuren, U. Wolff, V. Neu, A. Bergman, and B. Hjörvarsson, A new look on the two-dimensional Ising model: Thermal artificial spins, New J. Phys. 18, 023008 (2016).
  14. G.-W. Chern, M. J. Morrison, and C. Nisoli, Degeneracy and criticality from emergent frustration in artificial spin ice, Phys. Rev. Lett. 111, 177201 (2013).
  15. I. Gilbert, Y. Lao, I. Carrasquillo, L. O'Brien, J. D. Watts, M. Manno, C. Leighton, A. Scholl, C. Nisoli, and P. Schiffer, Emergent reduced dimensionality by vertex frustration in artificial spin ice, Nat. Phys. 12, 162 (2016).
  16. J. Drisko, T. Marsh, and J. Cumings, Topological frustration of artificial spin ice, Nat. Commun. 8, 14009 (2017).
  17. N. Strandqvist, G. Fitez, O. Heinonen, and P. Schiffer, Nanomagnet shape effects on magnetic reversal in artificial spin ice, Phys. Rev. B 111, 184420 (2025).
  18. B. E. Skovdal, S. D. Slöetjes, M. Pohlit, H. Stopfel, V. Kapaklis, and B. Hjörvarsson, Thermal excitations within and among mesospins in artificial spin ice, Phys. Rev. B 107, L060406 (2023).
  19. D. M. Arroo, J. C. Gartside, and W. R. Branford, Sculpting the spin-wave response of artificial spin ice via microstate selection, Phys. Rev. B 100, 214425 (2019).
  20. J. C. Gartside, A. Vanstone, T. Dion, K. D. Stenning, D. M. Arroo, H. Kurebayashi, and W. R. Branford, Reconfigurable magnonic mode-hybridisation and spectral control in a bicomponent artificial spin ice, Nat. Commun. 12, 2488 (2021).
  21. U. B. Arnalds, A. Farhan, R. V. Chopdekar, V. Kapaklis, A. Balan, E. T. Papaioannou, M. Ahlberg, F. Nolting, L. J. Heyderman, and B. Hjörvarsson, Thermalized ground state of artificial kagome spin ice building blocks, Appl. Phys. Lett. 101, 112404 (2012).
  22. V. Kapaklis, U. B. Arnalds, A. Farhan, R. V. Chopdekar, A. Balan, A. Scholl, L. J. Heyderman, and B. Hjörvarsson, Thermal fluctuations in artificial spin ice, Nat. Nanotechnol. 9, 514 (2014).
  23. H. Stopfel, E. Östman, I.-A. Chioar, D. Greving, U. B. Arnalds, T. P. A. Hase, A. Stein, B. Hjörvarsson, and V. Kapaklis, Magnetic order and energy-scale hierarchy in artificial spin-ice structures, Phys. Rev. B 98, 014435 (2018).
  24. H. Stopfel, U. B. Arnalds, A. Stein, T. P. A. Hase, B. Hjörvarsson, and V. Kapaklis, Multiple energy scales in mesospin systems: The vertex-frustrated Saint George lattice, Phys. Rev. Mater. 5, 114410 (2021).
  25. I. Gilbert, G.-W. Chern, S. Zhang, L. O'Brien, B. Fore, C. Nisoli, and P. Schiffer, Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice, Nat. Phys. 10, 670 (2014).
  26. J. A. Osborn, Demagnetizing factors of the general ellipsoid, Phys. Rev. 67, 351 (1945).
  27. S. D. Slöetjes, B. Hjörvarsson, and V. Kapaklis, The effect of confinement on thermal fluctuations in nanomagnets, Appl. Phys. Lett. 118, 142407 (2021).
  28. S. D. Slöetjes, B. Hjörvarsson, and V. Kapaklis, Texture fluctuations and emergent dynamics in coupled nanomagnets, Phys. Rev. B 106, 104405 (2022).
  29. 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).
  30. A. Tryggvason, A. Caruana, C. Kinane, S. Ingvarsson, and F. Magnus, Magnetization dynamics and proximity effects in ultrasoft composition modulated amorphous CoAlZr alloy thin films, Sci. Rep. 15, 7388 (2025).
  31. K. A. Thórarinsdóttir, N. Strandqvist, V. V. Sigurjónsdóttir, E. B. Thorsteinsson, B. Hjörvarsson, and F. Magnus, Finding order in disorder: Magnetic coupling distributions and competing anisotropies in an amorphous metal alloy, APL Mater. 10, 041103 (2022).
  32. P. F. Bessarab, V. M. Uzdin, and H. Jónsson, Method for finding mechanism and activation energy of magnetic transitions, applied to skyrmion and antivortex annihilation, Comput. Phys. Commun. 196, 335 (2015).
  33. P. F. Bessarab, Comment on “Path to collapse for an isolated Néel skyrmion”, Phys. Rev. B 95, 136401 (2017).
  34. V. M. Kuchkin, GNEB in MuMax3, https://kuchkin.github.io/gneb.html.
  35. V. M. Kuchkin and N. S. Kiselev, Homotopy transitions and 3D magnetic solitons, APL Mater. 10, 071102 (2022).
  36. V. M. Kuchkin, P. F. Bessarab, and N. S. Kiselev, Thermal generation of droplet soliton in chiral magnet, Phys. Rev. B 105, 184403 (2022).
  37. V. M. Kuchkin, N. S. Kiselev, F. N. Rybakov, I. S. Lobanov, S. Blügel, and V. M. Uzdin, Heliknoton in a film of cubic chiral magnet, Front. Phys. 11, 1201018 (2023).
  38. M. Sallermann, H. Jónsson, and S. Blügel, Stability of hopfions in bulk magnets with competing exchange interactions, Phys. Rev. B 107, 104404 (2023).
  39. A. S. Savchenko, V. M. Kuchkin, F. N. Rybakov, and N. S. Kiselev, Magnetic bubbles with alternating chirality in domain walls, Front. Phys. 11, 1223609 (2023).
  40. P. F. Bessarab, V. M. Uzdin, and H. Jónsson, Harmonic transition-state theory of thermal spin transitions, Phys. Rev. B 85, 184409 (2012).
  41. P. F. Bessarab, V. M. Uzdin, and H. Jónsson, Potential energy surfaces and rates of spin transitions, Z. Phys. Chem. 227, 1543 (2013).
  42. V. M. Kuchkin, N. S. Kiselev, F. N. Rybakov, and P. F. Bessarab, Tailed skyrmions—An obscure branch of magnetic solitons, Front. Phys. 11, 1171079 (2023).
  43. G. D. Chaves-O'Flynn, A. D. Kent, and D. L. Stein, Micromagnetic study of magnetization reversal in ferromagnetic nanorings, Phys. Rev. B 79, 184421 (2009).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation