SPIN-GLASS PHASE IN THE SITE ISING-MODEL

For a random mixture of A and B spins in the site Ising model, with exchange energies JAA, JBB and JAB and the concentrations pA and pB, it is shown that it is possible for a spin-glass phase to exist for certain combinations of exchange energies and concentrations. The critical temperatures for paramagnetic-ferromagnetic, paramagnetic-antiferromagnetic and paramagnetic-spin-glass transitions, and the uniform, staggered, and spin-glass susceptibilities are obtained in the Bethe approximation. The Luttinger and Mattis models are also discussed.