2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/17938In 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.6 pages, 3 figures. v2 : substantially revised versionDisordered Systems and Neural NetworksStatistical Mechanicstext