RIGOROUS RESULTS FOR ISING FERROMAGNETS OF ARBITRARY SPIN

被引：169

作者：

GRIFFITHS, RB

机构：

[1] Department of Physics, Carnegie-Mellon University, Pittsburgh, PA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 09期

关键词：

D O I：

10.1063/1.1665005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The following results for spin-1/2 Ising ferromagnets are extended to the case of arbitrary spin: (1) the theorem of Lee and Yang, that the zeros of the partition function lie on the unit circle in the complex fugacity plane; (2) inequalities of the form 〈AB〉 ;> 〈A〉〈B〉, where A and B are products of spin operators; (3) the existence of spontaneous magnetization on suitable lattices. Results (2) and (3) are also extended to the infinite-spin limit in which the spin variable is continuous on the interval -1 ≤ x ≤ 1.

引用

页码：1559 / +

页数：1

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