New Approach to the Theory of Spin-Glasses. II. Case of the J Model

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Abstract
In the theory recently proposed by the present authors (Prog. Theor. Phys. 65 (1981), 83) which is based on the principle of minimum free energy, a probability function with respect to the internal field at each lattice site is introduced. A cluster approximation is applied to the probability function by generalizing the theory of random-ordered-phase by Oguchi and Ueno. It is found to be important to take into account the effect of flipping of the internal fields due to thermal agitation of surrounding spins in order to explain negative divergent non-linear susceptibility at the transition temperature. The result of phase diagram on the temperature versus bond concentration plane is quite similar to those obtained by different previous theories, not based on the minimum free energy principle.

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