Note on the Ising Model with Second-Neighbour and Four-Body Interactions Pertaining to Universality

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概要

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• By making use of exact results on the Ising systems investigated by Vaks et al. and by Fisher, thermostatistical properties of the Ising lattice with second-neighbour and four-body interactions are studied. Transition temperatures of such sytems can be obtained exactly and the following facts are proved. In the first place, the critical singularities of the systems with these interactions are the same as those of the ordinary Ising model. Secondly, the critical temperature of the ordinary antiferromagnet on the square lattice is a decreasing function of the magnitude of applied magnetic field. By making use of a dual transformation, it is also shown that second-neighbour and four-body interactions are irrelevant to the critical indices for the system with non-vanishing nearest-neighbour interaction.

• 理論物理学刊行会の論文
• 1979-11-25

著者

• YAMADA Keiji

  Department of Mechanical Systems Engineering, Kanazawa University

• YAMASHITA Mamoru

  Department of Physics Engineering, Faculty of Engineering, Mie University

• NAKANO Huzio

  Department of Applied Physics,Faculty of Engineering,Nagoya University

• Nakano Huzio

  Department Of Applied Physics Faculty Of Engineering Nagoya University

• Yamashita Mamoru

  Department Of Applied Physics Nagoya University

• Yamashita Mamoru

  Department Of Applicad Physics Faculty Of Engineering Nagoya University

• Yamada Keiji

  Department Of Applied Physics Faculty Of Engineering Nagoya University

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