Skip to main content
Log in

Dynamic and static properties of a non-Heisenberg magnet with complex interion anisotropy

  • Magnetism
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The influence of the anisotropic exchange interaction on the phase states of a non-Heisenberg ferromagnet with a magnetic-ion spin S = 1 is studied. It is shown that, depending on the relationships between the parameters of anisotropic exchange interaction and their signs, either a biaxial non-Heisenberg magnet or an Ising magnet are realized in the system. Dynamic properties of the system near orientational phase transitions and transitions in the absolute value of the magnetic moment are studied. Phase diagrams of the system for different relationships between constitutive parameters are plotted.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  3. M. Arikawa and H. Tsunetsugu, J. Magn. Magn. Mater. 310, 1308 (2007).

    Article  ADS  Google Scholar 

  4. Tarun Grover and T. Senthil, Phys. Rev. Lett. 98, 247202 (2007).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. J. Oitmaa and C. J. Hamer, Phys. Rev. B: Condens. Matter 87, 224431 (2013).

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    Google Scholar 

  9. O. A. Kosmachev, Yu. A. Fridman, E. G. Galkina, and B. A. Ivanov, J. Exp. Theor. Phys. 120 (2), 281 (2015).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. M. Blume, V. J. Emery, and R. B. Griffiths, Phys. Rev. A: At., Mol., Opt. Phys. 10, 1071 (1971).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. Yu. A. Fridman, O. A. Kosmachev, and F. N. Klevets, Low Temp. Phys. 32 (3), 214 (2006).

    Article  ADS  Google Scholar 

  14. P. A. Sayko and I. P. Shapovalov, J. Magn. Magn. Mater. 392, 134 (2015).

    Article  ADS  Google Scholar 

  15. I. Shapovalov, Ukr. Fiz. Zh. 55, 307 (2010).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  17. V. M. Kalita, Sov. Phys. Solid State 33 (7), 1092 (1991).

    Google Scholar 

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

    ADS  Google Scholar 

  19. V. M. Kalita, I. M. Ivanova, and V. M. Loktev, Theor. Math. Phys. 173 (2), 1620 (2012).

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. 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 

  22. V. V. Val’kov, T. A. Val’kova, and S. G. Ovchinnikov, Sov. Phys. JETP 62 (2), 323 (1985).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  25. P.-G. De Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974; Mir, Moscow, 1977).

    MATH  Google Scholar 

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

    ADS  Google Scholar 

  27. Yu. A. Fridman, O. A. Kosmachev, and Ph. N. Klevets, Eur. Phys. J. B 81, 185 (2011).

    Article  ADS  Google Scholar 

  28. I. P. Shapovalov, Ukr. J. Phys. 53, 651 (2008).

    Google Scholar 

  29. M. Yu. Kovalevsky and A. V. Glushchenko, Low Temp. Phys. 40 (5), 435 (2014).

    Article  ADS  Google Scholar 

  30. V. V. Val’kov, G. N. Matsuleva, and S. G. Ovchinnikov, Sov. Phys. Solid State 31 (6), 948 (1989).

    Google Scholar 

  31. Yu. A. Fridman and O. A. Kosmachev, Low Temp. Phys. 27 (6), 473 (2001).

    Article  ADS  Google Scholar 

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

    Google Scholar 

  33. Ph. N. Klevets, O. A. Kosmachev, and Yu. A. Fridman, J. Magn. Magn. Mater. 330, 91 (2013).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. A. Fridman.

Additional information

Original Russian Text © G.A. Gorelikov, O.A. Kosmachev, A.V. Krivtsova, Yu.A. Fridman, 2017, published in Fizika Tverdogo Tela, 2017, Vol. 59, No. 3, pp. 491–499.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gorelikov, G.A., Kosmachev, O.A., Krivtsova, A.V. et al. Dynamic and static properties of a non-Heisenberg magnet with complex interion anisotropy. Phys. Solid State 59, 504–513 (2017). https://doi.org/10.1134/S1063783417030131

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783417030131

Navigation