Statistical Theory of the Random Ordered Phase in Quenched Bond Mixtures

Abstract

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 .