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Dynamic properties of magnets with spin S = 3/2 and non-Heisenberg isotropic interaction

  • Order, Disorder, and Phase Transition in Condensed System
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Abstract

The dynamic properties of a magnet with magnetic-ion spin of 3/2 and an isotropic spin interaction of a general form have been investigated. Only four phase states can be realized in the system under consideration at various relationships between the material parameters: the ferro- and antiferromagnetic phases with saturated spin and the states with tensor order parameters, the nematic and antinematic ones. For these phases, the spontaneous symmetry breaking is determined by the octupole order parameter containing the mean values trilinear in spin operator components at a given site. The spectra of elementary excitations have been determined in all phases. Additional branches of excitations arise in all four phase states

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References

  1. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Butterworth-Heinemann, Oxford, 1993).

    Google Scholar 

  2. A. F. Andreev and V. I. Marchenko, Sov. Phys.—Usp. 23(1), 21 (1980).

    Article  ADS  Google Scholar 

  3. A. F. Andreev and I. A. Grishchuk, Sov. Phys. JETP 60(2), 267 (1984).

    Google Scholar 

  4. L. E. Svistov, T. Fujita, H. Yamaguchi, S. Kimura, K. Omura, A. Prokofiev, A. I. Smirnov, Z. Honda, and M. Hagiwara, JETP Lett. 93, 21 (2011).

    Article  ADS  Google Scholar 

  5. M. E. Zhitomirsky and H. Tsunetsugu, Europhys. Lett. 92, 37001 (2010).

    Article  Google Scholar 

  6. S. L. Ginzburg, Sov. Phys. Solid State 12(6), 1429 (1970).

    MathSciNet  Google Scholar 

  7. Y. Y. Hsieh and M. Blume, Phys. Rev. B: Solid State 8, 2684 (1972).

    Article  ADS  Google Scholar 

  8. V. M. Matveev, Sov. Phys. JETP 38(4), 813 (1973).

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  11. F. P. Onufrieva, Sov. Phys. JETP 53(6), 1241 (1981).

    Google Scholar 

  12. F. P. Onufrieva, Sov. Phys. JETP 62(6), 1311 (1988).

    Google Scholar 

  13. A. M. Perelomov, Sov. Phys.—Usp. 20(9), 703 (1977).

    Article  ADS  Google Scholar 

  14. A. Perelomov, Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).

    Book  MATH  Google Scholar 

  15. B. A. Ivanov and A. K. Kolezhuk, Phys. Rev. B: Condens. Matter 68, 052401 (2003).

    Article  ADS  Google Scholar 

  16. Yu. A. Fridman and D. V. Spirin, Phys. Status Solidi B 231, 165 (2002).

    Article  ADS  Google Scholar 

  17. D. V. Spirin and Yu. A. Fridman, J. Magn. Magn. Mat. 260, 215 (2003).

    Article  ADS  Google Scholar 

  18. P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974; Mir, Moscow, 1977).

    Google Scholar 

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

    ADS  Google Scholar 

  20. K. Buchta, G. Fáth, Ö. Legeza, and J. Sólyom, Phys. Rev. B: Condens. Matter 72, 054433 (2005).

    Article  ADS  Google Scholar 

  21. A. Läuchli, G. Schmid, and S. Trebst, Phys. Rev. B: Condens. Matter 74, 144426 (2006).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. A. Läuchli, F. Mila, and K. Penc, Phys. Rev. Lett. 97, 087205 (2006).

    Article  ADS  Google Scholar 

  25. A. Smerald and N. Shannon, Phys. Rev. B: Condens. Matter 88, 184430 (2013).

    Article  ADS  Google Scholar 

  26. G. Fáth and J. Sólyom, Phys. Rev. B: Condens. Matter 44, 11836 (1991).

    Article  ADS  Google Scholar 

  27. Y. Xian, J. Phys.: Condens. Matter 5, 7489 (1993).

    ADS  Google Scholar 

  28. D. M. Stamper-Kurn, M. R. Andrews, A. P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, and W. Ketterle, Phys. Rev. Lett. 80, 2027 (1998).

    Article  ADS  Google Scholar 

  29. A. Imambekov, M. Lukin, and E. Demler, Phys. Rev. A: At., Mol., Opt. Phys. 68, 063602 (2003).

    Article  ADS  Google Scholar 

  30. F. Zhou and M. Snoek, Ann. Phys. (New York) 308, 692 (2003); F. Zhou and M. Snoek, Phys. Rev. B: Condens. Matter 69, 094410 (2004).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  31. F. Zhou, Phys. Rev. Lett. 87, 080401 (2001); E. Demler and F. Zhou, Phys. Rev. Lett. 88, 163001 (2002).

    Article  ADS  Google Scholar 

  32. F. Zhou, Int. J. Mod. Phys. B 17, 2643 (2003).

    Article  ADS  MATH  Google Scholar 

  33. V. I. Butrim, B. A. Ivanov, A. S. Kuznetsov, and R. S. Khymyn, Low Temp. Phys. 34(12), 997 (2008).

    Article  ADS  Google Scholar 

  34. A. Kolezhuk and S. Sachdev, Phys. Rev. Lett. 96, 087203 (2006).

    Article  ADS  Google Scholar 

  35. V. I. Butrim, B. A. Ivanov, and A. S. Kuznetsov, JETP Lett. 92(3), 151 (2010).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  37. B. A. Ivanov and R. S. Khymyn, J. Exp. Theor. Phys. 104(2), 307 (2007).

    Article  ADS  Google Scholar 

  38. S. Komineas and N. Papanicolaou, Phys. Rev. Lett. 89, 070402 (2002).

    Article  ADS  Google Scholar 

  39. B. A. Ivanov, JETP Lett. 84(2), 84 (2006).

    Article  Google Scholar 

  40. B. A. Ivanov, R. S. Khymyn, and A. K. Kolezhuk, Phys. Rev. Lett. 100, 047203 (2008).

    Article  ADS  Google Scholar 

  41. E. H. Lieb, Commun. Math. Phys. 67, 69 (1979).

    Article  MathSciNet  Google Scholar 

  42. I. V. Bar’yakhtar and B. A. Ivanov, Sov. Phys. JETP 58(1), 190 (1983).

    Google Scholar 

  43. B. A. Ivanov and D. D. Sheka, Phys. Rev. Lett. 72, 404 (1994).

    Article  ADS  Google Scholar 

  44. E. G. Galkina, A. Yu. Galkin, B. A. Ivanov, and F. Nori, Phys. Rev. B: Condens. Matter 81, 184413 (2010).

    Article  ADS  Google Scholar 

  45. N. A. Mikushina and A. S. Moskvin, Phys. Lett. A 302, 8 (2002).

    Article  ADS  MATH  Google Scholar 

  46. M. Y. Kovalevsky and A. V. Glushchenko, Ann. Phys. 349, 55 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  47. M. Y. Kovalevsky and A. V. Glushchenko, J. Magn. Magn. Mat. 355, 192 (2014).

    Article  ADS  Google Scholar 

  48. V. I. Marchenko, JETP Lett. 48, 427 (1988).

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  50. Yu. A. Fridman, O. A. Kosmachev, A. K. Kolezhuk, and B. A. Ivanov, Phys. Rev. Lett. 106, 097202 (2011).

    Article  ADS  Google Scholar 

  51. C. V. Ciobanu, S. K. Yip, and T. L. Ho, Phys. Rev. A: At., Mol., Opt. Phys. 61, 033607 (2000).

    Article  ADS  Google Scholar 

  52. J. L. Song, G. W. Semenoff, and F. Zhou, Phys. Rev. Lett. 98, 160408 (2007).

    Article  ADS  Google Scholar 

  53. A. M. Turner, R. Barnett, E. Demler, and A. Vishwanath, Phys. Rev. Lett. 98, 190404 (2007).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  55. A. M. Turner, R. Barnett, E. Demler, and A. Vishwanath, Phys. Rev. Lett. 98, 190404 (2007).

    Article  ADS  Google Scholar 

  56. C. Wu, J. P. Hu, and S. C. Zhang, Phys. Rev. Lett. 91, 186402 (2003).

    Article  ADS  Google Scholar 

  57. C. Wu, Mod. Phys. Lett. B 20, 1707 (2006).

    Article  ADS  MATH  Google Scholar 

  58. C. Wu, Phys. Rev. Lett. 95, 266404 (2005).

    Article  ADS  Google Scholar 

  59. H.-H. Tu, G.-M. Zhang, and L. Yu, Phys. Rev. B: Condens. Matter 74, 174404 (2006).

    Article  ADS  Google Scholar 

  60. K. Stevens, Proc. Phys. Soc. London, Ser. A 65, 209 (1952).

    Article  ADS  MATH  Google Scholar 

  61. V. V. Val’kov, Theor. Math. Phys. 76(1), 766 (1988).

    Article  MathSciNet  Google Scholar 

  62. R. O. Zaitsev, Sov. Phys. JETP 41(1), 100 (1975).

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  64. K. P. Belov, A. K. Zvezdin, A. M. Kadomtseva, and R. Z. Levitin, Orientational Transitions in Rare-Earth Magnets (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  65. A. K. Kolezhuk and T. Vekua, Phys. Rev. B: Condens. Matter 83, 014418 (2011).

    Article  ADS  Google Scholar 

  66. V. V. Val’kov and S. G. Ovchinnikov, Quasiparticles in Strongly Correlated Systems (Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2001) [in Russian].

    Google Scholar 

  67. V. G. Bar’yakhtar, V. N. Krivoruchko, and D. A. Yablonskii, Green’s Functions in the Theory of Magnetism (Naukova Dumka, Kiev, 1984) [in Russian].

    Google Scholar 

  68. V. G. Vaks, A. I. Larkin, and S. A. Pikin, Sov. Phys. JETP 26(3), 647 (1967).

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  70. A. Yu. Galkin and B. A. Ivanov, J. Exp. Theor. Phys. 109(1), 74 (2009).

    Article  ADS  Google Scholar 

  71. P. Santini, S. Carretta, G. Amoretti, R. Caciuffo, N. Magnani, and G. H. Lander, Rev. Mod. Phys. 81, 807 (2009).

    Article  ADS  Google Scholar 

  72. J. A. Mydosh and P. M. Oppeneer, Rev. Mod. Phys. 83, 1301 (2011).

    Article  ADS  Google Scholar 

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Correspondence to Yu. A. Fridman.

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Original Russian Text © O.A. Kosmachev, Yu.A. Fridman, E.G. Galkina, B.A. Ivanov, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 147, No. 2, pp. 320–337.

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Kosmachev, O.A., Fridman, Y.A., Galkina, E.G. et al. Dynamic properties of magnets with spin S = 3/2 and non-Heisenberg isotropic interaction. J. Exp. Theor. Phys. 120, 281–295 (2015). https://doi.org/10.1134/S1063776115010021

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  • DOI: https://doi.org/10.1134/S1063776115010021

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