The Effect of Lattice Vibration on the Phase Transition of the Ising Model

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概要

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• The effect of lattice vibration on the second-order phase transition for the Ising model is investigated. The total Hamiltonian of the system is separated into the phonon part and the spin part, if the displacement of the atoms from their equilibrium position is assumed to be small. The spin part of the free energy is then calculated (i) in the molecular-field approximation for the square and the simple cubic lattices, and (ii) by the method due to Kadanoff, a modification of the Onsager's exact solution, for the square lattice. The results show that (i) the phase transition remains to be of the second order, (ii) the critical temperature increases, and (iii) the magnetic part of the heat capacity decreases, both for ferro- and antiferromagnetic Ising models.

• 社団法人日本物理学会の論文
• 1968-12-05

著者

• Matsudaira Noboru

  Physical Science Laboratories Nihon University

関連論文

• Ising Ferromagnets with Random Impurities
• The Effect of Lattice Vibration on the Phase Transition of the Ising Model
• Inelastic Scattering of X-Rays by Light Metals
• An Ising Ferromagnet with Dilute Impurities

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