Statistical Mechanics of the Finite Heisenberg Model. I

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概要

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• The eigen-functions and eigen-values of finite three-dimensional Heisenberg models with anisotropy constant as a parameter (spin=1/2) were obtained exactly with the aid of group theoretical technique and by using a high speed computer. The calculated eigenvalues are identical with those obtained by Serber and Dresselhaus for the isotropic simple cubic 2×2×2 lattice. However, it was found that some terms in their full expressions were to be corrected. The zeros of the partition function of the above 2×2×2 lattice have been investigated as functions of the anisotropy parameter both in the complex temperature plane and in the complex magnetic field plane. Thermodynamic functions such as energy, specific heat, magnetization, and susceptibility have been numerically computed for these finite system.

• 社団法人日本物理学会の論文
• 1970-01-05

著者

• SUZUKI Masuo

  The Institute for Solid State Physics, University of Tokyo

• 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
• Critical Slowing Down in the Kinetic Ising Model
• 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

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