Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings

Abstract

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with respect to temperature perturbations and do not belong to any critical line in the dilution-temperature plane. We discuss implications of the presence of such spurious unstable fixed points on the use of optimization algorithms, and we show how entropic effects should be taken into account to obtain the right physical behavior and critical points.

4 pages, 4 figures. A major typo error in formula (8) has been corrected

References in corpus (3)

• Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems
• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality

Cited by in corpus (9)

• The critical behavior of three-dimensional Ising spin glass models
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• Evidence for universal scaling in the spin-glass phase
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• Quenched-Vacancy Induced Spin-Glass Order
• Reduction of Dilute Ising Spin Glasses
• Physics of the Edwards-Anderson Spin Glass in Dimensions $d=3,\dots ,8$ from Heuristic Ground State Optimization
• Entropic long range order in a 3D spin glass model
• Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices