Journal of Statistical Physics

, Volume 38, Issue 1–2, pp 405–411 | Cite as

The quantum ground state of a Heisenberg ferromagnet with an “easy-plane” type anisotropy

  • A. A. Zvyagin
  • V. M. Tsukernik
Articles
  • 51 Downloads

Abstract

For the Heisenberg ferromagnet with the “easy-plane” type anisotropy the ground state energy and the magnetization are found with the help of perturbation theory supposing that the anisotropy energy is less than the exchange one. The study is carried out exactly without using any spin operators representation. Therefore, it is valid for a spin of any magnitude.

Key words

Uniaxial ferromagnet ground state susceptibility critical words 

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References

  1. 1.
    A. V. Chubukov,Zh. Eksp. Teor. Fiz. 85 No. 4 (10):1319–1334 (1983) (in Russian).Google Scholar
  2. 2.
    A. I. Akhiezer, V. G. Bar'yakhtar, and S. V. Pebtminskii,Spinovye volny (Spin Waves) (Nauka, Moscow, 1967) (English translation, Wiley, New York, 1968).Google Scholar
  3. 3.
    H. Bethe,Z. Phys. 71:205–226 (1931).Google Scholar
  4. 4.
    L. D. Filatova and V. M. Tsukernik,Fiz. Nizk. Temp. 7(11):1423–1429 (1981) [Sov. J. Low Temp. Phys. 7(11):689–692 (1981)].Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • A. A. Zvyagin
    • 1
  • V. M. Tsukernik
    • 1
  1. 1.Institute for Low Temperature Physics and EngineeringUkrSSR Academy of SciencesKharkovUSSR

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