CROSSOVER IN THE XY MODEL FROM 3 TO 2 DIMENSIONS

被引:51
作者
JANKE, W
MATSUI, T
机构
[1] Institut F̈r Theoretische Physik, Freie Universität Berlin
来源
PHYSICAL REVIEW B | 1990年 / 42卷 / 16期
关键词
D O I
10.1103/PhysRevB.42.10673
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the crossover between two- and three-dimensional behaviors of the Villain form of the XY spin model on a three-dimensional lattice with anisotropic couplings J1=J2=J, J3=J (01). The dependence of various quantities is examined by means of duality transformations, Migdal renormalization group, and Monte Carlo simulations. For the specific heat, a crossover into the Kosterlitz-Thouless behavior takes place around 0.2, which corresponds to 0.015 in the cosine form of the XY model. Some implications for models of high-Tc superconductivity are discussed. © 1990 The American Physical Society.
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页码:10673 / 10681
页数:9
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