A study is made of the effect of adding a ferromagnetic interaction to Fisher's superexchange antiferromagnet. Our results can be considered as either the exact treatment for an infinitely weak and infinitely long-range ferromagnetic interaction or as the mean-field treatment for an arbitrary ferromagnetic interaction. In addition, our model is equivalent to a three-dimensional metamagnetic system in which spins in the same plane interact via a superexchange antiferromagnetic interaction while spins in different planes interact via a ferromagnetic interaction. When the model is interpreted as a host-impurity system, the results can be compared with those found experimentally for solutions of hydrogen in metals. We find that as the ratio of the antiferromagnetic to ferromagnetic coupling is varied, we reproduce qualitatively the behavior of the phase diagrams found when low and moderate concentrations of hydrogen are absorbed in palladium, in tantalum, and in niobium. Application of our model to absorption problems is also briefly discussed.
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Hall et al. (1975) studied this question.
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