Ising Model with General Spin and Planar Rotator Model on the Bethe Lattice
作者： Yoshiaki Tanaka , Norikiyo Uryû
DOI: 10.1143/JPSJ.50.1140
关键词: Ising model 、 Bethe lattice 、 Condensed matter physics 、 Tree (descriptive set theory) 、 Planar 、 Spin-½ 、 Spontaneous magnetization 、 Physics 、 Ground state
摘要: In the Bethe lattice in which approximation is exact, Curie temperatures of Ising model with spin \(S=\frac{1}{2}\), 1,…, \(\frac{5}{2}\) are obtained exactly by generalizing method Katsura and Takizawa for system \(S=\frac{1}{2}\). This applied to planar rotator on infinite Cayley tree, critical temperature susceptibility rigorously calculated. It pointed out that diverges below temperature, other hand spontaneous magnetization vanishes as ground state degenerated infinitely.
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