CRITICAL SPIN-1 VERTEX MODELS AND O(n) MODELS
CRITICAL SPIN-1 VERTEX MODELS AND O(n) MODELS
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关键 SPIN-1 顶点模型和 O(n) 模型
DOI：
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发表时间：
1990
期刊：
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通讯作者：
B. Nienhuis
中科院分区：
文献类型：
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作者：
B. Nienhuis
给出了一种确定二维格点上自旋为1（三态）顶点模型和经典O（n）模型临界点和多临界点的方法。这是一个简单的概括的想法，早期导致确定临界点和临界指数的蜂窝O（n）模型。在正方形晶格的方法导致三临界以及临界位点。当n=2时，临界流形比n的其它值大.在这样产生的临界点和多临界点上，模型是可解的。该方法适用于任意平面格点上的O（n）模型和自旋为1的顶点模型。
A method is presented by which critical and multicritical points of spin-1 (three-state) vertex models and classical O(n) models on two-dimensional lattices are determined. It is a straightforward generalization of the ideas that earlier led to the determination of critical points and critical exponents of a honeycomb O(n) model. On the square lattice the methods leads to tricritical as well as critical loci. For n=2 a larger critical manifold is found than for other values of n. At the critical and multicritical points thus produced the models turn out to be soluble. The method is applicable to O(n) models and spin-1 vertex models on any planar lattice.