Diagrammatical Techniques for Two-Dimensional Ising Models. III. Ising Model to Vertex Model
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概要
- 論文の詳細を見る
It is shown that an application of the techniques of division and integration of lattice sites reduces Ising models to equivalent vertex models. When the Ising model is on a two-dimensional lattice and no crossing occurs for any two of line segments connecting two lattice sites between which an interaction exists, the equivalent vertex model is shown to be a free-fermion vertex model. An argument is also given to show that the present method provides a method of expressing the partition function of a general Ising model on the square lattice, with noncrossing interactions within a square plaquette, in terms of a determinant of a 4×4 matrix.
- 社団法人日本物理学会の論文
- 1993-03-15
著者
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Morita Tohru
Department Of Applied Science Faculty Of Engineering
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Tanaka Kazuyuki
Department Of Applied Information Sciences Graduate School Of Information Sciences Tohoku University
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Tanaka Kazuyuki
Department Of Engineering Science Faculty Of Engineering Tohoku University
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Morita Tohru
Department Of Applied Science Faculty Of Enginccring Tohoku University
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