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

Chirality and polarization of inertial antiferromagnetic resonances driven by spin-orbit torques

Peng-Bin He*

Ri-Xing Wang

Zai-Dong Li

Mikhail Cherkasskii†

  • Tianjin Key Laboratory of Quantum Optics and Intelligent Photonics, School of Science, Tianjin University of Technology, Tianjin 300384, China and School of Mathematics and Physics, Xinjiang Hetian College, Hetian 848000, China

  • *Contact author: hepengbin@hnu.edu.cn
  • †Contact author: macherkasskii@hotmail.com

Phys. Rev. B 112, 224423 – Published 11 December, 2025

DOI: https://doi.org/10.1103/1cjr-7cgl

Abstract

It is widely accepted that the handedness of a resonant mode is an intrinsic property. We show that, by tailoring the polarization and handedness of alternating spin-orbit torques used as the driving force, the polarization state and handedness of inertial resonant modes in an antiferromagnet (AFM) can be actively controlled. In contrast with ferromagnets, whose resonant-mode polarization is essentially fixed, AFM inertial modes can continuously evolve from elliptic through circular to linear polarization as the driving polarization is varied. We further identify an inertia-dependent critical degree of driving polarization at which the mode becomes linearly polarized while its handedness reverses.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (56)

  1. R. Mondal, L. Rózsa, M. Farle, P. M. Oppeneer, U. Nowak, and M. Cherkasskii, Inertial effects in ultrafast spin dynamics, J. Magn. Magn. Mater. 579, 170830 (2023).
  2. S. Bhattacharjee, L. Nordström, and J. Fransson, Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles, Phys. Rev. Lett. 108, 057204 (2012).
  3. R. Mondal, M. Berritta, and P. M. Oppeneer, Generalisation of Gilbert damping and magnetic inertia parameter as a series of higher-order relativistic terms, J. Phys.: Condens. Matter 30, 265801 (2018).
  4. M. G. Quarenta, M. Tharmalingam, T. Ludwig, H. Y. Yuan, L. Karwacki, R. C. Verstraten, and R. A. Duine, Bath-induced spin inertia, Phys. Rev. Lett. 133, 136701 (2024).
  5. J. Anders, C. R. J. Sait, and S. A. R. Horsley, Quantum Brownian motion for magnets, New J. Phys. 24, 033020 (2022).
  6. T. Kikuchi and G. Tatara, Spin dynamics with inertia in metallic ferromagnets, Phys. Rev. B 92, 184410 (2015).
  7. S. Giordano and P.-M. Déjardin, Derivation of magnetic inertial effects from the classical mechanics of a circular current loop, Phys. Rev. B 102, 214406 (2020).
  8. J.-E. Wegrowe and M.-C. Ciornei, Magnetization dynamics, gyromagnetic relation, and inertial effects, Am. J. Phys. 80, 607 (2012).
  9. M.-C. Ciornei, J. M. Rubí, and J.-E. Wegrowe, Magnetization dynamics in the inertial regime: Nutation predicted at short time scales, Phys. Rev. B 83, 020410(R) (2011).
  10. D. Böttcher and J. Henk, Significance of nutation in magnetization dynamics of nanostructures, Phys. Rev. B 86, 020404(R) (2012).
  11. S. V. Titov, W. T. Coffey, Y. P. Kalmykov, and M. Zarifakis, Deterministic inertial dynamics of the magnetization of nanoscale ferromagnets, Phys. Rev. B 103, 214444 (2021).
  12. S. V. Titov, Y. P. Kalmykov, K. D. Kazarinov, M. A. Cherkasskii, and A. S. Titov, Inertial magnetization dynamics in ferromagnetic nanoparticles near saturation, J. Commun. Technol. Electron. 68, 559 (2023).
  13. Y. Li, A.-L. Barra, S. Auffret, U. Ebels, and W. E. Bailey, Inertial terms to magnetization dynamics in ferromagnetic thin films, Phys. Rev. B 92, 140413(R) (2015).
  14. K. Neeraj, N. Awari, S. Kovalev, D. Polley, N. Zhou Hagström, S. S. P. K. Arekapudi, A. Semisalova, K. Lenz, B. Green, J.-C. Deinert et al., Inertial spin dynamics in ferromagnets, Nat. Phys. 17, 245 (2021).
  15. V. Unikandanunni, R. Medapalli, M. Asa, E. Albisetti, D. Petti, R. Bertacco, E. E. Fullerton, and S. Bonetti, Inertial spin dynamics in epitaxial cobalt films, Phys. Rev. Lett. 129, 237201 (2022).
  16. A. De, J. Schlegel, A. Lentfert, L. Scheuer, B. Stadtmüller, P. Pirro, G. von Freymann, U. Nowak, and M. Aeschlimann, Magnetic nutation: Transient separation of magnetization from its angular momentum, Phys. Rev. B 111, 014432 (2025).
  17. P.-B. He, Large-amplitude and widely tunable self-oscillations enabled by the inertial effect in uniaxial antiferromagnets driven by spin-orbit torques, Phys. Rev. B 108, 184418 (2023).
  18. P.-B. He, Influence of the magnetic inertia on the self-oscillation in spin-orbit torque-driven tripartite antiferromagnets with a 120∘ rotation symmetry, Phys. Rev. B 110, 064411 (2024).
  19. R. Rodriguez, M. Cherkasskii, R. Jiang, R. Mondal, A. Etesamirad, A. Tossounian, B. A. Ivanov, and I. Barsukov, Spin inertia and auto-oscillations in ferromagnets, Phys. Rev. Lett. 132, 246701 (2024).
  20. E. Olive, Y. Lansac, and J.-E. Wegrowe, Beyond ferromagnetic resonance: The inertial regime of the magnetization, Appl. Phys. Lett. 100, 192407 (2012).
  21. E. Olive, Y. Lansac, M. Meyer, M. Hayoun, and J.-E. Wegrowe, Deviation from the Landau-Lifshitz-Gilbert equation in the inertial regime of the magnetization, J. Appl. Phys. 117, 213904 (2015).
  22. M. Cherkasskii, M. Farle, and A. Semisalova, Nutation resonance in ferromagnets, Phys. Rev. B 102, 184432 (2020).
  23. R. Mondal, S. Großenbach, L. Rózsa, and U. Nowak, Nutation in antiferromagnetic resonance, Phys. Rev. B 103, 104404 (2021).
  24. R. Mondal and P. M. Oppeneer, Influence of intersublattice coupling on the terahertz nutation spin dynamics in antiferromagnets, Phys. Rev. B 104, 104405 (2021).
  25. R. Mondal and A. Kamra, Spin pumping at terahertz nutation resonances, Phys. Rev. B 104, 214426 (2021).
  26. R. Mondal, Theroy of magnetic inertial dynamics in two-sublattice ferromagnets, J. Phys.: Condens. Matter 33, 275804 (2021).
  27. S. V. Titov, W. J. Dowling, and Y. P. Kalmykov, Ferromagnetic and nutation resonance frequencies of nanomagnets with various magnetocrystalline anisotropies, J. Appl. Phys. 131, 193901 (2022).
  28. M. Cherkasskii, I. Barsukov, R. Mondal, M. Farle, and A. Semisalova, Theory of inertial spin dynamics in anisotropic ferromagnets, Phys. Rev. B 106, 054428 (2022).
  29. S. Ghosh, M. Cherkasskii, I. Barsukov, and R. Mondal, Theory of tensorial magnetic inertia in terahertz spin dynamics, Phys. Rev. B 110, 174430 (2024).
  30. R. Cheng, M. W. Daniels, J.-G. Zhu, and D. Xiao, Antiferromagnetic spin wave field-effect transistor, Sci. Rep. 6, 24223 (2016).
  31. T. Yu, C. Cai, and G. E. W. Bauer, Chirality enables thermal magnon transistors, Sci. China Phys. Mech. Astron. 67, 247511 (2024).
  32. W. Yu, J. Lan, and J. Xiao, Magnetic logic gate based on polarized spin waves, Phys. Rev. Appl. 13, 024055 (2020).
  33. C. Jia, M. Chen, A. F. Schäffer, and J. Berakdar, Chiral logic computing with twisted antiferromagnetic magnon modes, npj Comput. Mater. 7, 101 (2021).
  34. A. A. Tulapurkar, Y. Suzuki, A. Fukushima, H. Kubota, H. Maehara, K. Tsunekawa, D. D. Djayaprawira, N. Watanabe, and S. Yuasa, Spin-torque diode effect in magnetic tunnel junctions, Nature (London) 438, 339 (2005).
  35. J. C. Sankey, P. M. Braganca, A. G. F. Garcia, I. N. Krivorotov, R. A. Buhrman, and D. C. Ralph, Spin-transfer-driven ferromagnetic resonance of individual nanomagnets, Phys. Rev. Lett. 96, 227601 (2006).
  36. H. Xi, Y. Shi, and K.-Z. Gao, Spin-current effect on ferromagnetic resonance in patterned magnetic thin film structures, J. Appl. Phys. 97, 033904 (2005).
  37. J. N. Kupferschmidt, S. Adam, and P. W. Brouwer, Theory of the spin-torque-driven ferromagnetic resonance in a ferromagnet/normal-metal/ferromagnet structure, Phys. Rev. B 74, 134416 (2006).
  38. A. A. Kovalev, G. E. W. Bauer, and A. Brataas, Current-driven ferromagnetic resonance, mechanical torques, and rotary motion in magnetic nanostructures, Phys. Rev. B 75, 014430 (2007).
  39. P.-B. He, Z.-D. Li, A.-L. Pan, Q. Wan, Q.-L. Zhang, R.-X. Wang, Y.-G. Wang, W.-M. Liu, and B.-S. Zou, Theory of ferromagnetic resonance in magnetic trilayers with a tilted spin polarizer, Phys. Rev. B 78, 054420 (2008).
  40. L. Liu, T. Moriyama, D. C. Ralph, and R. A. Buhrman, Spin-torque ferromagnetic resonance induced by the spin Hall effect, Phys. Rev. Lett. 106, 036601 (2011).
  41. K. Kondou, H. Sukegawa, S. Mitani, K. Tsukagoshi, and S. Kasai, Evaluation of spin Hall angle and spin diffusion length by using spin current-induced ferromagnetic resonance, Appl. Phys. Express 5, 073002 (2012).
  42. V. Sluka, Antiferromagnetic resonance excited by oscillating electric currents, Phys. Rev. B 96, 214412 (2017).
  43. C. Sun, H. Yang, and M. B. A. Jalil, Ferrimagnetic resonance induced by the spin Hall effect, Phys. Rev. B 102, 134420 (2020).
  44. D. Thonig, O. Eriksson, and M. Pereiro, Magnetic moment of inertia within the torque-torque correlation model, Sci. Rep. 7, 931 (2017).
  45. A. Manchon, J. Železný, I. M. Miron, T. Jungwirth, J. Sinova, A. Thiaville, K. Garello, and P. Gambardella, Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems, Rev. Mod. Phys. 91, 035004 (2019).
  46. L. Zhu, D. C. Ralph, and R. A. Buhrman, Highly efficient spin-current generation by the spin Hall effect in Au1−xPtx, Phys. Rev. Appl. 10, 031001(R) (2018).
  47. C.-F. Pai, Y. Ou, L. H. Vilela-Leão, D. C. Ralph, and R. A. Buhrman, Dependence of the efficiency of spin Hall torque on the transparency of Pt/ferromagnetic layer interfaces, Phys. Rev. B 92, 064426 (2015).
  48. Z. Wang, H. Cheng, K. Shi, Y. Liu, J. Qiao, D. Zhu, W. Cai, X. Zhang, S. Eimer, D. Zhu et al., Modulation of field-like spin orbit torque in heavy metal/ferromagnet heterostructures, Nanoscale 12, 15246 (2020).
  49. J. Bouaziz, M. dos Santos Dias, F. S. M. Guimarães, and S. Lounis, Spin dynamics of 3d and 4d impurities embedded in prototypical topological insulators, Phys. Rev. Mater. 3, 054201 (2019).
  50. D. D. Stancil and A. Prabhakar, Spin Waves: Theory and Applications (Springer, New York, 2009).
  51. W. Research, Arctan, Wolfram language function (1988) (updated 2021).
  52. P. Vaidya, S. A. Morley, J. V. Tol, Y. Liu, R. Cheng, A. Brataas, D. Lederman, and E. D. Barco, Subterahertz spin pumping from an insulating antiferromagnet, Science 368, 160 (2020).
  53. S. M. Rezende, A. Azevedo, and R. L. Rodríguez-Suárez, Introduction to antiferromagnetic magnons, J. Appl. Phys. 126, 151101 (2019).
  54. Y. Shiota, T. Taniguchi, D. Hayashi, H. Narita, S. Karube, R. Hisatomi, T. Moriyama, and T. Ono, Handedness manipulation of propagating antiferromagnetic magnons, Nat. Commun. 15, 9750 (2024).
  55. X. Chen, C. Zheng, Y. Zhang, S. Zhou, Y. Liu, and Z. Zhang, Identification and manipulation of spin wave polarizations in perpendicularly magnetized synthetic antiferromagnets, New J. Phys. 23, 113029 (2021).
  56. I. Boventer, H. T. Simensen, A. Anane, M. Kläui, A. Brataas, and R. Lebrun, Room-temperature antiferromagnetic resonance and inverse spin-Hall voltage in canted antiferromagnets, Phys. Rev. Lett. 126, 187201 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation