High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model.
We calculate the high-temperature series of the magnetic susceptibility and the second and fourth moments of the correlation function for the XY model on the square lattice to order beta;{33} by applying the improved algorithm of the finite lattice method. The long series allow us to estimate the inverse critical temperature as beta_{c}=1.1200(1) , which is consistent with the most precise value given previously by the Monte Carlo simulation. The critical exponent for the multiplicative logarithmic correction is evaluated to be theta=0.054(10) , which is consistent with the renormalization group prediction of theta=1/16 .
Arisue
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Osaka Prefectural College of Technology, 26-12 Saiwai-cho, Neyagawa, Osaka 572, Japan. arisue@ipc.osaka-pct.ac.jp