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

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

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 7, 1391-1399

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.

Keywords: Monte Carlo method; Berezinskii–Kosterlitz–Thouless phase transition; Critical behavior; XY model (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:7:p:1391-1399

DOI: 10.1016/j.physa.2009.12.023

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