Random energy levels and low-temperature expansions for spin glasses

Details Random energy levels and low-temperature expansions for spin glasses Random energy levels and low-temperature expansions for spin glasses

2001-06-28

arxiv.org/abs/cond-mat/0106592v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures. v2 : substantially revised version

Scientific paper

In a previous paper (cond-mat/0106554) we showed the existence of two new zero-temperature exponents (\lambda and \theta') 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**\alpha with \alpha=-d/\theta' which turns out to be linear for the case \theta'=-d.

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