Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism

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概要

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• It is proved that the zeros of the partition function of an extended Ising model lie on a unit circle in the fugacity plane under certain conditions. Each spin assumes a general value. The key point of the proof is to derive a simple condition sufficient for zeros of polynomials to lie on a unit circle. Conjectured theorems on the Heisenberg model are also discussed.

• 理論物理学刊行会の論文
• 1968-12-25

著者

• Suzuki Masuo

  The Institute For Solid State Physics The University Of Tokyo

関連論文

• Critical Slowing Down in the Kinetic Ising Model
• Statistical Mechanics of the Finite Ising Model with Higher Spin
• Relationship among Exactly Soluble Models of Critical Phenomena. I : 2D Ising Model, Dimer Problem and the Generalized XY-Model
• Singularity of Nonlinear Response near the Critical Field. I : Static Case
• Long-Range Order in Ideal Ferromagnets
• Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism

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