Skip to main content
SpringerLink
Log in

Quantum effects of magnetization of an easy-axis ferromagnet with S = 1

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We analyze the influence of quantum effects on magnetic properties of a strongly anisotropic easy-axis ferromagnet with single-ion anisotropy comparable to the exchange interaction of spins with S = 1. We show that in this case, despite the quantum approach, we can apply a description inspired by the Landau theory of phase transitions. We consider two magnetization cases: by a longitudinal and by a transverse external magnetic field. We determine the critical values of the fields and find quantum corrections manifested in the so-called “shortening” of the mean spin modulus. We find that for a sufficiently large single-ion anisotropy, the angular dependence of the critical field differs from the Stoner-Wohlfarth astroid.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. M. Lifshits, Sov. JETP, 15, No. 3, 97–107 (1945).

    Google Scholar 

  2. S. V. Vonsovskii, Usp. Fiz. Nauk, 37, No. 1, 1–64 (1949).

    Google Scholar 

  3. Z. A. Kazei, R. Z. Levitin, N. P. Kolmakova, A. A. Sidorenko, V. V. Platonov, and O. M. Tatsenko, JETP Lett., 65, 720–724 (1997).

    Article  ADS  Google Scholar 

  4. O. B. Zaslavskii, V. V. Ulyanov, and Yu. V. Vasilevskaya, Low Temp. Phys., 24, 473 (1998).

    Article  ADS  Google Scholar 

  5. M. S. Tagirov and D. A. Tayurskii, Low Temp. Phys., 28, 147 (2002).

    Article  ADS  Google Scholar 

  6. Z. A. Kazei, V. V. Snegirev, J.-M. Broto, and H. Rakoto, JETP Lett., 87, 687–691 (2008).

    Article  ADS  Google Scholar 

  7. M. I. Kobets, E. N. Khats’ko, K. G. Dergachev, and P. S. Kalinin, Low Temp. Phys., 36, 611 (2010).

    Article  ADS  Google Scholar 

  8. V. M. Loktev and V. S. Ostrovski, Ukr. J. Phys., 23, 1708–1717 (1978).

    Google Scholar 

  9. F. P. Onufrieva, Sov. Phys. JETP, 53, 1241–1244 (1981).

    Google Scholar 

  10. V. G. Borisenko and Yu. V. Pereverzev, Sov. J. Low Temp. Phys., 11, 400 (1985).

    Google Scholar 

  11. V. V. Val’kov, T. A. Val’kova, and S. G. Ovchinnikov, Sov. JETP, 61, 323–325 (1985).

    Google Scholar 

  12. V. S. Ostrovskii, Sov. JETP, 64, 999–1005 (1986).

    Google Scholar 

  13. Yu. N. Mitsai and Yu. A. Fridman, Theor. Math. Phys., 81, 1194–1199 (1989).

    Article  Google Scholar 

  14. V. M. Loktev and V. S. Ostrovskii, Phys. Nizk. Temp., 20, 983–1016 (1994).

    Google Scholar 

  15. V. Yu. Irkhin and Yu. P. Irkhin, Phys. Stat. Sol., 193, 9 (1994).

    ADS  Google Scholar 

  16. V. M. Kalita and V. M. Loktev, Low Temp. Phys., 28, 883 (2002); Phys. Solid State, 45, 1523–1529 (2003); 47, 690–696 (2005).

    Article  ADS  Google Scholar 

  17. Yu. A. Fridman, O. A. Kosmachev, and Ph. N. Klevets, J. Mag. Mag. Mat., 320, 435–449 (2008).

    Article  Google Scholar 

  18. Yu. A. Fridman and D. A. Matyunin, Phys. Solid State, 50, 696–702 (2008).

    Article  ADS  Google Scholar 

  19. Yu. A. Fridman, D. A. Matunin, Ph. N. Klevets, and O. A. Kosmachev, J. Mag. Mag. Mat., 321, 3782–3794 (2009).

    Article  ADS  Google Scholar 

  20. V. V. Val’kov and S. G. Ovchinnikov, Quasiparticles in Strongly Correlated Systems [in Russian], Siberian Branch, Rus. Acad. Sci., Novosibirsk (2001).

    Google Scholar 

  21. V. Yu. Irkhin and Yu. P. Irkhin, Electronic Structure, Correlation Effects, and Properties of d- and f-Metals and Their Compounds, Cambridge International Science, Cambridge (2007).

    Google Scholar 

  22. R. S. Gekht, Sov. Phys. Usp., 32, 871–890 (1989).

    Article  ADS  Google Scholar 

  23. M. F. Collins and O. A. Petrenko, Can. J. Phys., 75, 605–655 (1997); arXiv:cond-mat/9706153v2 (1997).

    Article  ADS  Google Scholar 

  24. B. S. Dumesh, Sov. Phys. Usp., 43, 365–380 (2000).

    Google Scholar 

  25. V. S. Zapf, D. Zocco, B. R. Hansen, M. Jaime, N. Harrison, C. D. Batista, M. Kenzelmann, C. Niedermayer, A. Lacerda, and A. Paduan-Filho, Phys. Rev. Lett., 96, 077204 (2006); arXiv:cond-mat/0505562v1 (2005).

    Article  ADS  Google Scholar 

  26. S. A. Zvyagin, J. Wosnitza, C. D. Batista, M. Tsukamoto, N. Kawashima, J. Krzystek, V. S. Zapf, M. Jaime, N. F. Oliveira, Jr., and A. Paduan-Filho, Phys. Rev. Lett., 98, 047205 (2007); arXiv:cond-mat/0701750v1 (2007).

    Article  ADS  Google Scholar 

  27. V. S. Zapf, V. F. Correa, P. Sengupta, C. D. Batista, M. Tsukamoto, N. Kawashima, P. Egan, C. Pantea, A. Migliori, J. B. Betts, M. Jaime, and A. Paduan-Filho, Phys. Rev. B, 77, 020404(R) (2008).

    Article  ADS  Google Scholar 

  28. O. Chiatti, A. Sytcheva, J. Wosnitza, S. Zherlitsyn, A. A. Zvyagin, V. S. Zapf, M. Jaime, and A. Paduan-Filho, Phys. Rev. B, 78, 094406 (2008); arXiv:0809.1515v1 [cond-mat.stat-mech] (2008).

    Article  ADS  Google Scholar 

  29. V. M. Kalita and V. M. Loktev, JETP, 98, 1006–1014 (2004); Low Temp. Phys., 31, 619 (2005); JETP Lett., 91, 183–187 (2010).

    Article  ADS  Google Scholar 

  30. V. M. Kalita and V. M. Loktev, JETP Lett., 93, 534–538 (2011).

    Article  ADS  Google Scholar 

  31. V. M. Kalita, I. M. Ivanova, and V. M. Loktev, Phys. Rev. B, 78, 104415 (2008); arXiv:0707.4227v1 [condmat. stat-mech] (2007).

    Article  ADS  Google Scholar 

  32. L. Neel’, Izvestiya AN SSSR Ser. Fiz., 21, 890–903 (1957).

    Google Scholar 

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

    Google Scholar 

  34. V. C. Bar’yakhtar, I. M. Vitebskii, and D. A. Yablonskii, Sov. Phys. Solid State, 19, 1249 (1977).

    Google Scholar 

  35. V. Tyablikov, Methods in the Quantum Theory of Magnetism [in Russian], Nauka, Moscow (1975); English transl. prev. ed., Plenum, New York (1967).

    Google Scholar 

  36. V. F. Gantmakher and V. T. Dolgopolov, Phys. Usp., 51, 3–22 (2008).

    Article  Google Scholar 

  37. B. A. Ivanov, JETP Lett., 84, 84–88 (2006).

    Article  Google Scholar 

  38. V. I. Butrim, B. A. Ivanov, and A. S. Kuznetsov, JETP Letters, 92, 151–155 (2010).

    Article  ADS  Google Scholar 

  39. E. C. Stoner and E. P. Wohlfarth, Phil. Trans. Roy. Soc. London A, 240, 599–642 (1948).

    Article  ADS  MATH  Google Scholar 

  40. L. D. Landau and E. M. Lifshitz, Theoretical Physics [in Russian], Vol. 8, Electrodynamics of Continuous Media, Nauka, Moscow (1982); English transl., Pergamon, Oxford (1984).

    Google Scholar 

  41. M. Y. Kovalevsky, Low Temp. Phys., 36, 802 (2010).

    Article  ADS  Google Scholar 

  42. A. A. Timopheev, V. M. Kalita, S. M. Ryabchenko, A. F. Lozenko, P. A. Trotsenko, A. V. Los, and M. Munakata, J. Appl. Phys., 108, 053902 (2010).

    Article  ADS  Google Scholar 

  43. S. M. Ryabchenko, A. A. Timopheev, V. M. Kalita, A. F. Lozenko, P. A. Trotsenko, V. A. Stephanovich, and M. Munakata, Low Temp. Phys., 36, 682 (2010).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, National Academy Sciences of Ukraine, Kiev, Ukraine

    V. M. Kalita

  2. National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kiev, Ukraine

    I. M. Ivanova

  3. Bogoliubov Institute for Theoretical Physics, National Academy Sciences of Ukraine, Kiev, Ukraine

    V. M. Loktev

Authors
  1. V. M. Kalita
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. M. Ivanova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. M. Loktev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. M. Kalita.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 173, No. 2, pp. 333–352, November, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalita, V.M., Ivanova, I.M. & Loktev, V.M. Quantum effects of magnetization of an easy-axis ferromagnet with S = 1. Theor Math Phys 173, 1620–1635 (2012). https://doi.org/10.1007/s11232-012-0136-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-012-0136-0

Keywords

Search

Navigation