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Non-Heisenberg Anisotropic Ferrimagnet

  • ORDER, DISORDER, AND PHASE TRANSITION IN CONDENSED SYSTEM
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Abstract

The static and dynamic properties of an anisotropic ferrimagnet, which has sublattices with S = 1 and σ = 1/2 and is characterized by a non-Heisenberg (spin bilinear or biquadratic) exchange interaction for the sublattice with S = 1, are studied. The anisotropy is determined by the Ising interaction of the sublattices. When the non-Heisenberg exchange interaction of the sublattice with S = 1 is taken into account, the anisotropic system is shown to be in a phase with vector order parameters (ferrimagnetic phase) and in a phase characterized by both vector and tensor order parameters (quadrupole-ferrimagnetic phase). The type of the phase transition between these phases and the condition of compensating the magnetic moments of the sublattices are determined.

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REFERENCES

  1. J.-Y. Bigot, M. Vomir, and E. Beaurepaire, Nat. Phys. 5, 515 (2009).

    Article  Google Scholar 

  2. A. Kirilyuk, A. V. Kimel, and Th. Rasing, Rev. Mod. Phys. 82, 2731 (2010).

    Article  ADS  Google Scholar 

  3. B. A. Ivanov, Low Temp. Phys. 40, 91 (2014).

    Article  ADS  Google Scholar 

  4. P.-C. Huang, C. Hernandez-Garcia, and M.-C. Chen, Nat. Photon. 12, 349 (2018).

    Article  ADS  Google Scholar 

  5. I. Radu, K. Vahaplar, C. Stamm, T. Kachel, N. Pontius, H. A. Dürr, T. A. Ostler, J. Barker, R. F. L. Evans, R. W. Chantrell, A. Tsukamoto, A. Itoh, A. Kirilyuk, Th. Rasing, and A. V. Kimel, Nature (London, U.K.) 472, 205 (2011).

    Article  ADS  Google Scholar 

  6. T. A. Ostler, J. Barker, R. F. L. Evans, R. Chantrell, U. Atxitia, O. Chubykalo-Fesenko, S. El Moussaoui, L. le Guyader, E. Mengotti, L. J. Heyderman, F. Nolting, A. Tsukamoto, A. Itoh, D. V. Afanasiev, B. A. Ivanov, A. M. Kalashnikova, K. Vahaplar, J. Mentink, A. Kirilyuk, Th. Rasing, and A. V. Kimel, Nat. Commun. 3, 666 (2012).

    Article  ADS  Google Scholar 

  7. J. H. Mentink, J. Hellsvik, D. V. Afanasiev, B. A. Ivanov, A. Kirilyuk, A. V. Kimel, O. Eriksson, M. I. Katsnelson, and Th. Rasing, Phys. Rev. Lett. 108, 057202 (2012).

    Article  ADS  Google Scholar 

  8. V. G. Bar’yakhtar, V. I. Butrim, and B. A. Ivanov, JETP Lett. 98, 289 (2013).

    Article  ADS  Google Scholar 

  9. H. V. Gomonay and V. M. Loktev, Low Temp. Phys. 40, 17 (2014).

    Article  ADS  Google Scholar 

  10. V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, and Y. Tserkovnyak, Rev. Mod. Phys. 90, 015005 (2018).

    Article  ADS  Google Scholar 

  11. M. B. Jungfleisch, W. Zhang, and A. Hoffmann, Phys. Lett. A 382, 865 (2018).

    Article  ADS  Google Scholar 

  12. H. V. Gomonay and V. M. Loktev, Phys. Rev. B 81, 144427 (2010).

    Article  ADS  Google Scholar 

  13. O. A. Tretiakov, D. Clarke, G.-W. Chern, Y. B. Bazaliy, and O. Tchernyshyov, Phys. Rev. Lett. 100, 127204 (2008).

    Article  ADS  Google Scholar 

  14. E. G. Galkina, B. A. Ivanov, S. Savel’ev, and F. Nori, Phys. Rev. B 77, 134425 (2008).

    Article  ADS  Google Scholar 

  15. O. Gomonay, T. Jungwirth, and J. Sinova, Phys. Rev. Lett. 117, 017202 (2016).

    Article  ADS  Google Scholar 

  16. E. G. Galkina and B. A. Ivanov, Low Temp. Phys. 44, 618 (2018).

    Article  ADS  Google Scholar 

  17. R. Cheng, D. Xiao, and A. Brataas, Phys. Rev. Lett. 116, 207603 (2016).

    Article  ADS  Google Scholar 

  18. R. Khymyn, I. Lisenkov, V. Tyberkevych, B. A. Ivanov, and A. Slavin, Sci. Rep. 7, 43705 (2017).

    Article  ADS  Google Scholar 

  19. O. R. Sulymenko, O. V. Prokopenko, V. S. Tiberkevich, A. N. Slavin, B. A. Ivanov, and R. Khymyn, Phys. Rev. Appl. 8, 064007 (2017).

    Article  ADS  Google Scholar 

  20. B. A. Ivanov and A. L. Sukstanskii, Sov. Phys. JETP 57, 214 (1983).

    Google Scholar 

  21. K.-J. Kim, S. K. Kim, Y. Hirata, Se-Hyeok Oh, T. Tono, D.-H. Kim, T. Okuno, W. S. Ham, S. Kim, G. Go, Y. Tserkovnyak, A. Tsukamoto, T. Moriyama, K.-J. Lee, and T. Ono, Nat. Mater. 16, 1187 (2017).

    Article  ADS  Google Scholar 

  22. E. G. Galkina, K. E. Zaspel, B. A. Ivanov, N. E. Kulagin, and L. M. Lerman, JETP Lett. 110, 481 (2019).

    Article  ADS  Google Scholar 

  23. S. K. Kim and Y. Tserkovnyak, Appl. Phys. Lett. 111, 032401 (2017).

    Article  ADS  Google Scholar 

  24. C. E. Zaspel, E. G. Galkina, and B. A. Ivanov, Phys. Rev. Appl. 12, 044019 (2019).

    Article  ADS  Google Scholar 

  25. I. Lisenkov, R. Khymyn, J. Åkerman, N. X. Sun, and B. A. Ivanov, Phys. Rev. B 100, 100409 (R) (2019).

  26. B. A. Ivanov, Low Temp. Phys. 45, 935 (2019).

    Article  ADS  Google Scholar 

  27. Yu. A. Fridman and O. A. Kosmachev, Phys. Solid State 51, 1167 (2009).

    Article  ADS  Google Scholar 

  28. E. L. Nagaev, Sov. Phys. Usp. 25, 31 (1982).

    Article  ADS  Google Scholar 

  29. V. M. Loktev and V. S. Ostrovskii, Low Temp. Phys. 20, 775 (1994).

    ADS  Google Scholar 

  30. T. Moriya, Phys. Rev. 117, 635 (1960).

    Article  ADS  Google Scholar 

  31. Yu. N. Mitsay, Yu. A. Fridman, D. V. Spirin, and M. S. Kochmanski, Acta Phys. Polon. 97, 355 (2000).

    Article  ADS  Google Scholar 

  32. Yu. A. Fridman and O. A. Kosmachev, J. Magn. Magn. Mater. 236, 272 (2001).

    Article  ADS  Google Scholar 

  33. E. G. Galkina, V. I. Butrim, Yu. A. Fridman, B. A. Ivanov, and F. Nori, Phys. Rev. B 88, 144420 (2013).

    Article  ADS  Google Scholar 

  34. E. G. Galkina, B. A. Ivanov, and V. I. Butrim, Low Temp. Phys. 40, 635 (2014).

    Article  ADS  Google Scholar 

  35. A. F. Andreev and I. A. Grishchuk, Sov. Phys. JETP 60, 267 (1984).

    Google Scholar 

  36. S. L. Ginzburg, Sov. Phys. Solid State 12, 1429 (1970).

    Google Scholar 

  37. Y. Y. Hsieh and M. Blume, Phys. Rev. B 8, 2684 (1972).

    Article  ADS  Google Scholar 

  38. V. M. Matveev, Sov. Phys. JETP 38, 813 (1973).

    ADS  Google Scholar 

  39. V. M. Loktev and V. S. Ostrovskii, Low Temp. Phys. 20, 775 (1994).

    ADS  Google Scholar 

  40. F. P. Onufrieva, Sov. Phys. JETP 53, 1241 (1981).

    Google Scholar 

  41. F. P. Onufrieva, Sov. Phys. JETP 62, 1311 (1985).

    Google Scholar 

  42. A. V. Chubukov, K. I. Ivanova, P. Ch. Ivanov, and E. R. Korutcheva, J. Phys.: Condens. Matter 3, 2665 (1991).

    ADS  Google Scholar 

  43. R. Barnett, A. Turner, and E. Demler, Phys. Rev. A 76, 013605 (2007).

    Article  ADS  Google Scholar 

  44. E. L. Nagaev, Magnets with Complex Exchange Interactions (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  45. B. A. Ivanov and A. K. Kolezhuk, Phys. Rev. B 68, 052401 (2003).

    Article  ADS  Google Scholar 

  46. V. G. Bar’yakhtar, V. I. Butrim, A. K. Kolezhuk, and B. A. Ivanov, Phys. Rev. B 87, 224407 (2013).

    Article  ADS  Google Scholar 

  47. R. Barnett, A. Turner, and E. Demler, Phys. Rev. Lett. 97, 180412 (2006).

    Article  ADS  Google Scholar 

  48. K. Buchta, G. Fáth, Ö. Legeza, and J. Sólyom, Phys. Rev. B 72, 054433 (2005).

    Article  ADS  Google Scholar 

  49. Yu. A. Fridman, O. A. Kosmachev, and Ph. N. Klevets, J. Magn. Magn. Mater. 325, 125 (2013).

    Article  ADS  Google Scholar 

  50. A. Läuchli, G. Schmid, and S. Trebst, Phys. Rev. B 74, 144426 (2006).

    Article  ADS  Google Scholar 

  51. A. K. Kolezhuk, H.-J. Mikeska, and S. Yamamoto, Phys. Rev. B 55, R3336 (1997).

    Article  ADS  Google Scholar 

  52. A. K. Kolezhuk, H.-J. Mikeska, K. Maisinger, and U. Schollwöck, Phys. Rev. B 59, 13565 (1999).

    Article  ADS  Google Scholar 

  53. N. Papanikolaou, Nucl. Phys. B 305, 367 (1988).

    Article  ADS  Google Scholar 

  54. A. V. Chubukov, J. Phys.: Condens. Matter 2, 1593 (1990).

    ADS  Google Scholar 

  55. K. Stevens, Proc. Phys. Soc. A 65, 209 (1952).

    Article  ADS  Google Scholar 

  56. V. V. Val’kov, Sov. J. Theor. Math. Phys. 76, 766 (1988).

    Article  Google Scholar 

  57. R. O. Zaitsev, Sov. Phys. JETP 41, 100 (1975).

    ADS  Google Scholar 

  58. Yu. A. Fridman, O. A. Kosmachev, and Ph. N. Klevets, J. Magn. Magn. Mater. 320, 435 (2008).

    Article  ADS  Google Scholar 

  59. Yu. N. Mitsai and Yu. A. Fridman, Sov. J. Theor. Math. Phys. 81, 1194 (1989).

    Article  Google Scholar 

  60. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).

  61. V. V. Val’kov and T. A. Val’kova, Sov. Phys. JETP 72, 1053 (1991).

    Google Scholar 

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Authors and Affiliations

  1. Vernadsky Crimean Federal University, 295007, Simferopol, Crimea, Russia

    A. V. Krivtsova, Ya. Yu. Matyunina & Yu. A. Fridman

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  1. A. V. Krivtsova
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  2. Ya. Yu. Matyunina
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  3. Yu. A. Fridman
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Correspondence to Yu. A. Fridman.

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Translated by K. Shakhlevich

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Krivtsova, A.V., Matyunina, Y.Y. & Fridman, Y.A. Non-Heisenberg Anisotropic Ferrimagnet. J. Exp. Theor. Phys. 131, 302–310 (2020). https://doi.org/10.1134/S1063776120060059

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