High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model

被引：24

作者：

Arisue, H. ^{[1
]}

机构：

[1] Osaka Prefectural Coll Technol, Neyagawa, Osaka 572, Japan

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 01期

关键词：

STRONG-COUPLING EXPANSION; LATTICE GAUGE-THEORY; POTTS-MODEL; FREE-ENERGY; MASS GAP; SQUARE; SERIES; TRANSITION; HEAT;

D O I：

10.1103/PhysRevE.79.011107

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：10