Kac limit for finite-range spin glasses

S. Franz, F.L. Toninelli

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    Abstract

    We consider a finite-range spin glass model in arbitrary dimension, where the strength of the two-body coupling decays to zero over some distance ¿-1. We show that, under mild assumptions on the interaction potential, the infinite-volume free energy of the system converges to that of the Sherrington-Kirkpatrick one, in the Kac limit ¿¿0. This could be a first step toward an expansion around mean-field theory, for spin glass systems.
    Original languageEnglish
    Article number030602
    Number of pages3
    JournalPhysical Review Letters
    Volume92
    Issue number3
    DOIs
    Publication statusPublished - 2004

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