Diagrammatical Techniques for Two-Dimensional Ising Models. III. Ising Model to Vertex Model

Tohru Morita, Kazuyuki Tanaka

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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 x 4 matrix.

本文言語English
ページ(範囲)873-879
ページ数7
ジャーナルjournal of the physical society of japan
62
3
DOI
出版ステータスPublished - 1993 1 1

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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