Thermodynamics of the 2D-Heisenberg classical square lattice Part II. Thermodynamic functions derived from the zero-field partition function

被引:27
作者
Curely, J [1 ]
机构
[1] Univ Bordeaux 1, Ctr Phys Mol Opt & Hertzienne, CNRS, UMR 5798, F-33405 Talence, France
来源
PHYSICA B | 1998年 / 254卷 / 3-4期
关键词
Heisenberg model; lattice theory; classical spins; ferrimagnetics;
D O I
10.1016/S0921-4526(98)00425-6
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We derive the specific heat from the analytical expression of the zero-field partition function previously obtained in the thermodynamic limit, for a 2D-Heisenberg classical square lattice (J. Curely, Physica B 245 (1998) 263). In the same limit, we give closed-form expressions for the spin-spin correlation, the dynamic and static susceptibilities as well as for the correlation length. We examine their respective behaviours near the critical temperature T-c = 0 K and we analytically derive the values of critical exponents: alpha = 0, eta = - 1, gamma = 3 and nu = 1. In particular, the value nu = 1 is in agreement with the results previously published. In the high-temperature (HT) domain, we show that only a numerical study of the static susceptibility allows one to verify that it converges to the result derived by Rushbrooke by means of the HT series. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:277 / 297
页数:21
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