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A Mean-Field Approach for Inhomogeneous Spin-Glass Models

Forrest, B. M
Published in Europhysics Letters. 1993, vol. 21, no. 9, p. 879-883
Abstract A mean-field replica-type theory is presented for long-range Ising spin-glasses whose interactions can be written in the form Jij = JijIJijSK, where JSK is a quenched Gaussian interaction, as in the SK spin-glass, and JI is a deterministic matrix which defines the structure or inhomogeneity of the model and must have a finite rank in the thermodynamic limit. The spin-glass model proposed by Franz, Parisi and Virasoro (Europhys. Lett., 17 (1992) 5) can be written in this form, with JI having rank 2, and is used as a case study to illustrate our theory. In the context of replica theory we also consider the stable states of this model, which appear continuously as the temperature is lowered.
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CANNING, Andréw Magnus, FORREST, B. M. A Mean-Field Approach for Inhomogeneous Spin-Glass Models. In: Europhysics Letters, 1993, vol. 21, n° 9, p. 879-883. https://archive-ouverte.unige.ch/unige:90979

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