A statistical theory of the random ordered phase, proposed by Ueno and Oguchi, in the quenched random mixture with differentsigned exchange interactions is developed further, based on the generalized Bethe approximation. Specially the uniform magnetization in ferro-rich side and the sublattice magnetization in antiferro-rich side are obtained, which cannot be calculated in previous papers.
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Oguchi et al. (1977) studied this question.
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