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Quantum fluctuations in low-dimensional easy-plane spin models

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  • A. S.T. Pires
  • M. E. Gouvêa

Abstract

A self-consistent harmonic approximation is used to treat the low temperature limit of the one and two dimensional S=1 easy plane magnets. For the one dimensional (1D) model, we calculate the gap caused by the presence of an external magnetic field applied in the easy-plane. The quantum phase transition of the one-dimensional model at T=0 is also studied. For the two-dimensional case, the Kosterlitz-Thouless (KT) transition temperature as a function of a single-ion anisotropy term is calculated. The line ends at a quantum critical point, where the KT temperature goes to zero. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • A. S.T. Pires & M. E. Gouvêa, 2005. "Quantum fluctuations in low-dimensional easy-plane spin models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(2), pages 169-174, March.
    • Handle: RePEc:spr:eurphb:v:44:y:2005:i:2:p:169-174
    DOI: 10.1140/epjb/e2005-00111-x
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