Abstract
Abstract To study the influence of a mixture of ferromagnetic and antiferromagnetic couplings on the transition temperature of a spin- 1 2 system we used the Bethe or constant-coupling method and applied it to two models: Model A, a system containing two types of atoms with different inter- and intra-spin coupling; Model B, a system which contains two antiferromagnetic sublattices that are ferromagnetically coupled. We find that for reasonable values of the parameters the Curie temperature has the tendency to increase when the antiferromagnetic coupling is present, at least for the models considered using Ising and anisotropic Heisenberg coupling. We also were able to develop an expression, based on model B, for the critical temperature of a spin-1 system.
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