Random energy levels and low-temperature expansions for spin glasses

M. Picco; F. Ritort; M. Sales

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arXiv · cond-mat/0106592

Random energy levels and low-temperature expansions for spin glasses

M. Picco·F. Ritort·M. Sales

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Abstract

In a previous paper (cond-mat/0106554) we showed the existence of two new zero-temperature exponents (λand θ') in two dimensional Gaussian spin glasses. Here we introduce a novel low-temperature expansion for spin glasses expressed in terms of the gap probability distributions for successive energy levels. After presenting the numerical evidence in favor of a random-energy levels scenario, we analyze the main consequences on the low-temperature equilibrium behavior. We find that the specific heat is anomalous at low-temperatures c ~ T**αwith α=-d/θ' which turns out to be linear for the case θ'=-d.

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M. Picco, F. Ritort, M. Sales. 2001-11-22. Random energy levels and low-temperature expansions for spin glasses. https://arxiv.org/abs/cond-mat/0106592

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