Quantum Effects in Two-Dimensional X-Y Model

  • H. Takano
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 46)

Abstract

Quantum effects in the two-dimensional X-Y model are discussed keeping in mind the problem whether the quantum X-Y model in two dimensions shows the Kosterlitz-Thouless transition, which is driven by the appearance of topological disorder in the spin configuration, as the classical X-Y model. Quantum effects are treated as perturbations to the classical model, which corresponds to the limit that the magnitude of spin S→∞, by using the 1/s-expansion, where s = [ S(S+1) ]1/2.

Keywords

Anisotropy Sine Cose Cote Zinn 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.M. Kosterlitz and D.J. Thouless, J. Phys. C6 (1973) 1181. J.M. Kosterlitz, J. Phys. C7 (1974) 1046.Google Scholar
  2. 2.
    W.J. Camp and J.P. Van Dyke, J. Phys. C8 (1975) 336. A. J. Guttmann, J. Phys. All (1978) 545.Google Scholar
  3. 3.
    J. Rogiers, E.W. Grundke and D.D. Betts, Can. J. Phys. 57 (1979) 1719.Google Scholar
  4. 4.
    M. Suzuki, S. Miyashita and A. Kuroda, Prog. Theor. Phys. 58 (1977) 1377.Google Scholar
  5. 5.
    R. Dekeyser, M. Revnaert, A.L. Stella and F. Toigo, Phys. Rev. B17 (1978) 2343. H. Takano and M. Suzuki, J. Stat. Phys. 26 (1981), 635.CrossRefGoogle Scholar
  6. 6.
    E. H. Lieb, Commun. Math. Phys. 31 (1973) 327.MATHADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    D.R. Nelson and R. A. Pelcovits, Phys. Rev. IB16 (1977) 2191. R.A. Pelcovits and D.R. Nelson, Phys. Lett. 57A (1976) 23.Google Scholar
  8. 8.
    E. Brezin, J. Zinn-Justin and J. C. Le Guillou, Phys. Rev. B14 (1976) 4976; Phys. Rev. D14 (1976) 2615.Google Scholar
  9. 9.
    Y. Takahashi and F. Shibata, J. Stat. Phys. 14 (1976) 49.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • H. Takano
    • 1
  1. 1.Department of Physics, Faculty of Science and TechnologyKeio UniversityYokohama 223Japan

Personalised recommendations