Monte Carlo and coarse graining renormalization studies for the XY model with cubic anisotropy

G.Y. Hu and S.C. Ying

Physica A: Statistical Mechanics and its Applications, 1987, vol. 140, issue 3, 585-596

Abstract: The XY model with cubic anisotropy is studied using a Monte Carlo coarse graining renormalization calculation. Particular emphasis is placed on the accuracy of phase diagrams and the finite-size effects on the phase transition. Non-universal behavior of the correlation-length critical exponent v with respect to variation of the cubic anisotropic field h4 is analysed and an empirical formula v = [1 − exp(− ch4)]−1 is proposed. The results are discussed with reference to the surface reconstruction phase transition of the W(001) surface.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:140:y:1987:i:3:p:585-596

DOI: 10.1016/0378-4371(87)90082-3

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