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Critical behaviour of the 3D XY-model: a Monte Carlo study

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  • Gottlob, Aloysius P.
  • Hasenbusch, Martin

Abstract

We present the results of a study of the three-dimensional XY-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to L = 112. At the transition temperature we studied the fourth-order cumulant and other cumulant-like quantities on lattices of size up to L = 64. From our numerical data we obtain for the critical coupling Kc = 0.45420(2) and for the static critical exponents γ/v = 1.976(6) and v = 0.662(7).

Suggested Citation

  • Gottlob, Aloysius P. & Hasenbusch, Martin, 1993. "Critical behaviour of the 3D XY-model: a Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 593-613.
    • Handle: RePEc:eee:phsmap:v:201:y:1993:i:4:p:593-613
    DOI: 10.1016/0378-4371(93)90131-M
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    1. Yang, Y.S. & Thompson, C.J. & Guttmann, A.J., 1992. "High-temperature expansions for the strongly correlated Falicov-Kimball model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(3), pages 587-597.
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    1. Przedborski, M.A. & Mitrović, B., 2014. "Absence of phase transition in the XY-model on Menger sponge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 89-97.

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