Phys. Rev. B 78, 155409 (2008) [5 pages]Berezinskii-Kosterlitz-Thouless phase transition for the dilute planar rotator model on a triangular latticeReceived 16 May 2008; published 8 October 2008 The Berezinskii-Kosterlitz-Thouless (BKT) phase transition for the dilute planar rotator model on a triangular lattice is studied by using a hybrid Monte Carlo method. The phase-transition temperatures for different nonmagnetic impurity densities are obtained by three approaches: finite-size scaling of plane magnetic susceptibility, helicity modulus, and Binder’s fourth cumulant. It is found that the phase-transition temperature decreases with increasing impurity density ρ and the BKT phase transition vanishes when the magnetic occupancy falls to the site percolation threshold: 1−ρc=pc=0.5. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.155409
DOI:
10.1103/PhysRevB.78.155409
PACS:
07.05.Tp, 21.60.Ka, 05.10.Ln, 75.10.Hk
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