The Berezinskii-Kosterlitz-Thouless transition and correlations in the XY kagomé antiferromagnet

  • V. B. Cherepanov
  • I. V. Kolokolov
  • E. V. Podivilov
Condensed Matter


The problem of the Berezinskii-Kosterlitz-Thouless transition in the highly frustrated XY kagomé antiferromagnet is solved. The transition temperature is found. It is shown that the spin correlation function exponentially decays with distance even in the low-temperature phase, in contrast to the order parameter correlation function, which decays algebraically with distance.

PACS numbers

75.10.Hk 75.50.Ee 


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  1. 1.
    V. L. Berezinskii, Zh. Éksp. Teor. Fiz. 61, 1144 (1971) [Sov. Phys. JETP 34, 610 (1972)].Google Scholar
  2. 2.
    J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).CrossRefADSGoogle Scholar
  3. 3.
    V. V. Lebedev, Pis’ma Zh. Éksp. Teor. Fiz. 70, 675 (1999) [JETP Lett. 70, 691 (1999)]; Phys. Rev. E 62, 1002 (2000).Google Scholar
  4. 4.
    D. A. Huse and A. D. Rutenberg, Phys. Rev. B 45, 7536 (1992).CrossRefADSGoogle Scholar
  5. 5.
    P. Chandra, P. Coleman, and I. Ritchey, J. Phys. I 3, 591 (1993).Google Scholar
  6. 6.
    M. S. Rzchowskii, cond-mat/9508139.Google Scholar
  7. 7.
    J. V. Jose, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B 16, 1217 (1977).ADSGoogle Scholar
  8. 8.
    A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions (Nauka, Moscow, 1983, 2nd ed.; Pergamon, Oxford, 1979).Google Scholar
  9. 9.
    A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Fizmatgiz, Moscow, 1962; Prentice-Hall, Englewood Cliffs, 1963).Google Scholar
  10. 10.
    R. J. Baxter, J. Math. Phys. 11, 784 (1977).MathSciNetGoogle Scholar
  11. 11.
    S. E. Korshunov, cond-mat/0106463.Google Scholar
  12. 12.
    V. B. Cherepanov, I. V. Kolokolov, and E. V. Podivilov, cond-mat/9603115.Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2001

Authors and Affiliations

  • V. B. Cherepanov
    • 1
  • I. V. Kolokolov
    • 2
  • E. V. Podivilov
    • 3
  1. 1.Hummingberg Ltd.TorontoCanada
  2. 2.Budker Institute of Nuclear PhysicsNovosibirskRussia
  3. 3.Institute of Automation and ElectrometryRussian Academy of SciencesNovosibirskRussia

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