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The effective-field theory of the isotropic Blume-Emery-Griffiths model

1988; IOP Publishing; Volume: 21; Issue: 36 Linguagem: Inglês

10.1088/0022-3719/21/36/021

1747-3802

J.W. Tucker,

Material Dynamics and Properties

The recent results of Chakraborty (1988) and those of Fittipaldi and Siqueira (1986) for the critical temperature of the isotropic BEG model obtained by the use of an effective-field theory based on an extension of the Honmura Kaneyoshi techniques are criticised. Those two sets of results differ in a fundamental way, not only with each other, but with those of other theories. The reason for this is traced and it is shown that a correct treatment of the effective-field equations yields results close to those of the cluster variational method in a pair approximation, and other methods.