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Crossover of the antiferromagnet Heisenberg to XY model

Author

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  • de Sousa, J.Ricardo
  • Araújo, Ijanı́lio G
  • Plascak, J.A

Abstract

The criticality of the quantum anisotropic spin-12 Heisenberg antiferromagnetic model is studied by the mean-field renormalization group (MFRG) approach. The critical temperature and the thermal exponent for the ferromagnetic (F) and antiferromagnetic (AF) cases are obtained as a function of the anisotropy parameter on a three-dimensional lattice. Particular attention is drawn to the difference between Tc (F case) and TN (AF case). It is shown that in the quantum XY limit Tc=TN, whereas TN>Tc for the anisotropic Heisenberg model. We have also shown that the thermal critical exponent yt presents a small dependence on the type of interaction (F or AF) due to finite size effects.

Suggested Citation

  • de Sousa, J.Ricardo & Araújo, Ijanı́lio G & Plascak, J.A, 2000. "Crossover of the antiferromagnet Heisenberg to XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 181-187.
    • Handle: RePEc:eee:phsmap:v:278:y:2000:i:1:p:181-187
    DOI: 10.1016/S0378-4371(99)00439-2
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