Antiferromagnetism. The Kagome Ising Net

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概要

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• We can solve exactly the eigenvalue problem of the kagome Ising net with z=4. The transition temperature lies a little below than that of the square lattice. Its value is determined by c^<4Lc>=3+2√<3>and it teaches us that it is not determined only by the number of nearest neighbors. In the case of antiferromagnetism, especially, the kagome lattice which does not fit to antiferromagnetic arrangement is disordered at all temperature and possesses a finite zero point entropy just as in the case of the triangular lattice and the result runs as follows: (S_k(0)) / R=1 / (24π^2)∫^<2π>_0∫^<2π>_0log{21-4(cosω_1+cosω_2+cos(ω_1+ω_2))}dω_1・dω_2≒0.50183

• 理論物理学刊行会の論文

著者

• Naya Shigeo

  Department Of Physics Boston University : Faculty Of Science Kwansei Gakuin University

• Naya Shigeo

  Department Of Physics Osaka University

• KANO Kenzi

  Department of Physics, Kagawa University

• Kano Kenzi

  Department Of Physics Kagawa University

• NAYA Shigeo

  Department of Physics, Osaka University

関連論文

• Order Parameter Expansion of Free Energy and Spin-Glasses. I : Random Bond Model
• Antiferromagnetism. The Kagome Ising Net
• A Thermodynamic Perturbation Theory of the Anharmonic Oscillator. II : Density Matrix
• Symmetrical Properties of Two-Dimensional Ising Lattices
• Orientational Phase Transition in a Two-Dimensional Molecular Crystal with Random Pairwise Interactions
• Order-Parameter Expansion of Free Energy and Its Application to Some Models with First and Second Order Phase Transitions
• Freeze-In Transition of Anharmonic Oscillator System with Quenched Random Interactions

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