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Field-Driven Band Asymmetry and Nonreciprocal Transport in a Helimagnet

Darius-Alexandru Deaconu1,*, Aneesh Agarwal2, Rodion Vladimirovich Belosludov3, Robert-Jan Slager1,2, and Mohammad Saeed Bahramy1,†

  • *Contact author: darius-alexandru.deaconu@manchester.ac.uk
  • †Contact author: m.saeed.bahramy@manchester.ac.uk

Phys. Rev. Lett. 135, 096701 – Published 25 August, 2025

DOI: https://doi.org/10.1103/lhj4-9h29

Abstract

Helimagnets exhibit noncollinear spin arrangements characterized by a periodic helical modulation, giving rise to emergent chiral properties. These materials have attracted significant interest due to their potential applications in spintronics, particularly for robust information storage and the realization of topological spin textures such as skyrmions. In this work, we focus on Yoshimori-type helimagnets, where competing exchange interactions mediated by conduction electrons stabilize helical spin structures without requiring Dzyaloshinskii-Moriya interaction. We introduce a minimal model describing the electronic structure of a one-dimensional helimagnet in the presence of an external magnetic field and investigate its impact on nonreciprocal transport. We demonstrate how band asymmetry emerges in the conical phase induced by the external field, leading to a nonzero second-order electronic conductivity and injection photoconductivity. Our results provide insight into the interplay between the real space magnetic texture and electronic properties, paving the way for future studies on chirality-driven transport phenomena in centrosymmetric helimagnets.

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References (65)

  1. G. H. Wagnière, On Chirality and the Universal Asymmetry: Reflections on Image and Mirror Image (John Wiley & Sons, New York, 2007).
  2. E. Bousquet, M. Fava, Z. Romestan, F. Gómez-Ortiz, E. E. McCabe, and A. H. Romero, J. Phys. Condens. Matter 37, 163004 (2025).
  3. C. Felser and J. Gooth, arXiv:2205.05809.
  4. H. Watanabe, H. C. Po, and A. Vishwanath, Sci. Adv. 4, eaat8685 (2018).
  5. N. H. Jo, L.-L. Wang, R.-J. Slager, J. Yan, Y. Wu, K. Lee, B. Schrunk, A. Vishwanath, and A. Kaminski, Phys. Rev. B 102, 045130 (2020).
  6. R.-J. Slager, J. Phys. Chem. Solids 128, 24 (2019).
  7. B. A. Bernevig, C. Felser, and H. Beidenkopf, Nature (London) 603, 41 (2022).
  8. J. Kruthoff, J. de Boer, J. van Wezel, C. L. Kane, and R.-J. Slager, Phys. Rev. X 7, 041069 (2017).
  9. Z. Xiao, J. Zhao, Y. Li, R. Shindou, and Z.-D. Song, Phys. Rev. X 14, 031037 (2024).
  10. A. Bouhon, G. F. Lange, and R.-J. Slager, Phys. Rev. B 103, 245127 (2021).
  11. Y. Jiang, Z. Song, T. Zhu, Z. Fang, H. Weng, Z.-X. Liu, J. Yang, and C. Fang, Phys. Rev. X 14, 031039 (2024).
  12. A. Corticelli, R. Moessner, and P. A. McClarty, Phys. Rev. B 105, 064430 (2022).
  13. A. Yoshimori, J. Phys. Soc. Jpn. 14, 807 (1959).
  14. A. Fert, N. Reyren, and V. Cros, Nat. Rev. Mater. 2, 1 (2017).
  15. S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Böni, Science 323, 915 (2009).
  16. N. Nagaosa and Y. Tokura, Nat. Nanotechnol. 8, 899 (2013).
  17. Y. Tokura and S. Seki, Adv. Mater. 22, 1554 (2010).
  18. H. Masuda, T. Seki, J.-i. Ohe, Y. Nii, H. Masuda, K. Takanashi, and Y. Onose, Nat. Commun. 15, 1999 (2024).
  19. T. Kaplan, Phys. Rev. 116, 888 (1959).
  20. J. Villain, J. Phys. Chem. Solids 11, 303 (1959).
  21. R. A. Erickson, Phys. Rev. 90, 779 (1953).
  22. I. Dzyaloshinskii, Sov. Phys. JETP 19, 960 (1964), http://jetp.ras.ru/cgi-bin/e/index/e/19/4/p960?a=list.
  23. I. Dzialoshinski, J. Phys. Chem. Solids 4, 241 (1958).
  24. T. Moriya, Phys. Rev. 120, 91 (1960).
  25. T. Moriya and T. Miyadai, Solid State Commun. 42, 209 (1982).
  26. Y. Cao, Z. Huang, Y. Yin, H. Xie, B. Liu, W. Wang, C. Zhu, D. Mandrus, L. Wang, and W. Huang, Mater. Today Adv. 7, 100080 (2020).
  27. Y. Kousaka, T. Ogura, J. Jiang, K. Mizutani, S. Iwasaki, J. Akimitsu, and Y. Togawa, APL Mater. 10, 090704 (2022).
  28. Y. Togawa, T. Koyama, K. Takayanagi, S. Mori, Y. Kousaka, J. Akimitsu, S. Nishihara, K. Inoue, A. Ovchinnikov, and J. Kishine, Phys. Rev. Lett. 108, 107202 (2012).
  29. R. Aoki, Y. Kousaka, and Y. Togawa, Phys. Rev. Lett. 122, 057206 (2019).
  30. D. Nakamura, M.-K. Lee, K. Karube, M. Mochizuki, N. Nagaosa, Y. Tokura, and Y. Taguchi, Sci. Adv. 11, eadw8023 (2025).
  31. Y. Togawa, Y. Kousaka, K. Inoue, and J.-i. Kishine, J. Phys. Soc. Jpn. 85, 112001 (2016).
  32. N. Jiang, Y. Nii, H. Arisawa, E. Saitoh, and Y. Onose, Nat. Commun. 11, 1601 (2020).
  33. A. H. Mayo, D.-A. Deaconu, H. Masuda, Y. Nii, H. Takahashi, R. V. Belosludov, S. Ishiwata, M. S. Bahramy, and Y. Onose, Proc. Natl. Acad. Sci. U.S.A. 122, e2405839122 (2025).
  34. T. Nagamiya, in Solid State Physics (Elsevier, New York, 1968), Vol. 20, pp. 305–411.
  35. M. A. Ruderman and C. Kittel, Phys. Rev. 96, 99 (1954).
  36. T. Kasuya, Prog. Theor. Phys. 16, 45 (1956).
  37. K. Yosida, Phys. Rev. 106, 893 (1957).
  38. K. Yosida, Theory of Magnetism (Springer, Berlin, Heidelberg, 1996).
  39. S. Doniach, Physica (Amsterdam) 91B+C, 231 (1977).
  40. H. Tsunetsugu, M. Sigrist, and K. Ueda, Rev. Mod. Phys. 69, 809 (1997).
  41. J. R. Schrieffer and P. A. Wolff, Phys. Rev. 149, 491 (1966).
  42. A related model with α=0 has recently been proposed to describe unconventional p-wave magnets [43].

  43. B. Brekke, P. Sukhachov, H. G. Giil, A. Brataas, and J. Linder, Phys. Rev. Lett. 133, 236703 (2024).
  44. I. Deretzis, G. Calogero, G. Angilella, and A. La Magna, Europhys. Lett. 107, 27006 (2014).
  45. This behavior is similar to the experimentally observed positive nonreciprocal resistivity in Co8Zn9Mn3 [30] as well as the sign-switchable response in α−EuP3 [33].

  46. See Supplemental Material at http://link.aps.org/supplemental/10.1103/lhj4-9h29 for the extension of the model to α−EuP3, derivation of nonlinear conductivity and optical response, which includes Refs. [33,47–62].
  47. J. E. Sipe and E. Ghahramani, Phys. Rev. B 48, 11705 (1993).
  48. J. E. Sipe and A. I. Shkrebtii, Phys. Rev. B 61, 5337 (2000).
  49. J. Ahn, G.-Y. Guo, N. Nagaosa, and A. Vishwanath, Nat. Phys. 18, 290 (2021).
  50. A. Bouhon, A. Timmel, and R.-J. Slager, arXiv:2303.02180.
  51. D. Vanderbilt, Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators (Cambridge University Press, Cambridge, England, 2018).
  52. J. Ahn, G.-Y. Guo, and N. Nagaosa, Phys. Rev. X 10, 041041 (2020).
  53. T. Chattopadhyay, P. J. Brown, and H. G. von Schnering, Phys. Rev. B 36, 7300 (1987).
  54. G. Kresse and J. Furthmüller, Phys. Rev. B 54, 11169 (1996).
  55. G. Kresse and D. Joubert, Phys. Rev. B 59, 1758 (1999).
  56. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
  57. T. Ideue, K. Hamamoto, S. Koshikawa, M. Ezawa, S. Shimizu, Y. Kaneko, Y. Tokura, N. Nagaosa, and Y. Iwasa, Nat. Phys. 13, 578 (2017).
  58. W. J. Jankowski, A. S. Morris, A. Bouhon, F. N. Ünal, and R.-J. Slager, Phys. Rev. B 111, L081103 (2025).
  59. R. Resta, Phys. Rev. Lett. 133, 206903 (2024).
  60. R. D. King-Smith and D. Vanderbilt, Phys. Rev. B 47, 1651 (1993).
  61. A. Agarwal, W. J. Jankowski, D. Bennett, and R.-J. Slager, npj 2D Mater. Appl. 9, 43 (2025).
  62. B. M. Fregoso, T. Morimoto, and J. E. Moore, Phys. Rev. B 96, 075421 (2017).
  63. S. Okumura, T. Morimoto, Y. Kato, and Y. Motome, Phys. Rev. B 104, L180407 (2021).
  64. S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig, New J. Phys. 12, 065010 (2010).
  65. D.-A. Deaconu, A. Agarwal, R. V. Belosludov, R.-J. Slager, and M. S. Bahramy (2025), 10.48420/29820314.v1.

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