Frustration effect on the d-dimensional Ising spin glass. II. Existence of the spin glass phase

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Abstract
For pt.I see ibid., vol.13, p.4723 (1980). The uniform, staggered, and spin glass susceptibilities chi u, chi s and chi g are calculated explicitly for the random bond Ising models on d-dimensional (d=2, 3, 4 and 6) cubic lattices, in the case of the binary mixture of equal strength JA=-JB, by the square approximation developed by Katsura and Fujiki (1980). This approximation includes directly the closed-loop and frustration effects, and the authors obtain the ferromagnetic, antiferromagnetic and spin glass transition temperatures Tc, TN and Tg. The values of both Tc and Tg are lower than those in the Bethe approximation. In dimensions d>or=4, slight decreases in Tg are obtained. The decreases in Tg are not small for d=2 and 3, but no drastic changes are observed. The spin glass states seem to be realised for d>or=2 at least as metastable states.