Kac limit for finite-range spin glasses

S. Franz; F.L. Toninelli

doi:10.1103/PhysRevLett.92.030602

Kac limit for finite-range spin glasses

S. Franz, F.L. Toninelli

Research output: Contribution to journal › Article › Academic › peer-review

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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 language	English
Article number	030602
Number of pages	3
Journal	Physical Review Letters
Volume	92
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.92.030602
Publication status	Published - 2004

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