Spin glass properties of a class of mean-field models

Abstract

A class of mean-field models for spin glasses, in which the magnitude of the Onsager term is controlled to interpolate between the TAP equations for the SK model and the 'naive' mean-field (NMF) equations, is introduced. The authors examine the number of metastable states and the related parameters of the models. For the NMF model the spin glass susceptibility is also evaluated numerically. The results indicate that the rugged free energy structure and the marginal stability of the spin glass phase are common properties of these mean-field models, and that the Onsager term plays a minor role on yielding these novel spin glass properties.