Statistical theory based on generalized Bethe approximation is developed for the Ising quenched bond model in which ferromagnetic and antiferromagnetic exchange integrals exist. The random ordered phase (ROP) proposed in a previous paper is obtained. The random susceptibility χ r is calculated, and it is found that χ r diverges at the critical temperature T c . It is pointed out that the ordinary susceptibility for the uniform field might have a cusp at T c .
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Oguchi et al. (1976) studied this question.