Statistical Mechanics of the Finite Heisenberg Model. II

スポンサーリンク

概要

• 論文の詳細を見る

• The eigenfunctions of a two-dimensional finite 3×3 lattice of Heisenberg model (s=1/2) are obtained exactly with the aid of group theoretical technique and by using a computer. The eigenvalues of the anisotropic exchange Hamiltonian have been computed. The zeros of the partition function for the two-dimensional finite 3×3 lattice lie on the same unit circle in the complex magnetic field plane as those obtained in the three-dimensional finite 2×2×2 lattice. The zeros of the partition function obtained by coarse-graining of eigenvalues distribute on a line in the complex temperature plane. The thermodynamic quantities-specific heat, entropy, magnetization-has been numerically computed for ferro-and antiferromagnetic coupling. The critical index of the magnetization versus field is discussed on the basis of these numerical results.

• 社団法人日本物理学会の論文
• 1970-04-05

著者

• Kawabata Chikao

  Computer Center Faculty Of Science Okayama University

関連論文

• Statistical Thermodynamics of Finite Ising Model. II
• Statistical Thermodynamics of Finite Ising Model. I
• Statistical Mechanics of the Finite Heisenberg Model. II
• Statistical Mechanics of the Finite Heisenberg Model. III
• An Application of Pade Approximants to Heisenberg Ferromagnetism and Pair-Product Model
• Statistical Mechanics of the Finite Ising Model with Higher Spin
• Statistical Mechanics of the Finite Heisenberg Model. I

スポンサーリンク