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Berezinskii–Kosterlitz–Thouless phase transition of 2D dilute generalized XY model

Author

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  • Sun, Yun-Zhou
  • Liang, Jian-Chu
  • Xu, Si-Liu
  • Yi, Lin

Abstract

The Berezinskii–Kosterlitz–Thouless (BKT) phase transition of 2D dilute generalized XY model on a triangular lattice is studied by a hybrid Monte Carlo (MC) method. The critical temperatures are obtained by several methods for dilute and non-dilute cases. It is found that the critical temperature decreases with increasing non-magnetic occupation density ρ and the BKT phase transition vanishes when the magnetic occupation density reaches the site percolation threshold: ρmag=pc=0.5. Some thermodynamic quantities are also discussed.

Suggested Citation

  • Sun, Yun-Zhou & Liang, Jian-Chu & Xu, Si-Liu & Yi, Lin, 2010. "Berezinskii–Kosterlitz–Thouless phase transition of 2D dilute generalized XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1391-1399.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:7:p:1391-1399
    DOI: 10.1016/j.physa.2009.12.023
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