Critical Behaviour of the 3D XY-Model: A Monte Carlo Study

Details Critical Behaviour of the 3D XY-Model: A Monte Carlo Study Critical Behaviour of the 3D XY-Model: A Monte Carlo Study

1993-05-18

arxiv.org/abs/cond-mat/9305020v1

Physics

Condensed Matter

24 pages (4 PS-Figures Not included, Revtex 3.O file), report No.: CERN-TH.6885/93, KL-TH-93/10

Scientific paper

10.1016/0378-4371(93)90131-M

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 $\coup_c=0.45420(2)$, and for the static critical exponents $\gamma /\nu=1.976(6)$ and $\nu=0.662(7)$.

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