An exactly solvable two-dimensional Ising model with magnetic field

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, , Citation P Azaria and H Giacomini 1988 J. Phys. A: Math. Gen. 21 L935 DOI 10.1088/0305-4470/21/19/003

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1 Lab. de Magnetisme des Surfaces, Paris 7 Univ., France

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0305-4470/21/19/L935

Abstract

An Ising model formulated on a Kagome lattice with anisotropic ferromagnetic and antiferromagnetic interactions, and a magnetic field, is found to be exactly solvable for arbitrary values of temperature. The magnetic field acts on two of the three sublattices of the Kagome lattice. Explicit expressions for the partition function and the critical variety of the model are given.

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