TRANSFORMATIONS OF ISING MODELS
TRANSFORMATIONS OF ISING MODELS
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DOI：
10.1103/physrev.113.969
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发表时间：
1959-01-01
期刊：
影响因子：
--
通讯作者：
FISHER, ME
中科院分区：
文献类型：
--
作者：
FISHER, ME
将“星三角”和“装饰”变换推广到与标准伊辛网的自旋耦合的任意力学系统。这导致了进一步平面伊辛网的精确解，也导致了交替位置上的自旋大小大于S= 12的晶格的精确解。构造了一类反铁磁Ising模型；这些模型在任意磁场下的所有热力学性质和磁性能都可以导出精确的封闭表达式。
The" star-triangle" and" decoration" transformations are generalized so as to apply to arbitrary mechanical systems coupled to the spins of a standard Ising net. This leads to exact solutions for further plane Ising nets and also for lattices in which the spins on alternate sites have a magnitude greater than S= 1 2. A general class of antiferromagnetic Ising models is constructed; exact closed expressions can be derived for all the thermodynamic and magnetic properties of these models in an arbitrary magnetic field.