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.

arXiv comment4 pages, 4 figures. A major typo error in formula (8) has been corrected

References in corpus (16)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems
• Precise determination of the bond percolation thresholds and finite-size scaling corrections for the s.c., f.c.c., and b.c.c. lattices
• Optimization with Extremal Dynamics
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses
• Scalings of domain wall energies in two dimensional Ising spin glasses
• Strong universality and algebraic scaling in two-dimensional Ising spin glasses
• Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality
• Low-Temperature Excitations of Dilute Lattice Spin Glasses
• Cluster Monte Carlo algorithms for diluted spin glasses
• Direct sampling of complex landscapes at low temperatures: the three-dimensional +/-J Ising spin glass
• Zero-Temperature Limit of the SUSY-breaking Complexity in Diluted Spin-Glass Models
• Cluster Dynamics for Randomly Frustrated Systems with Finite Connectivity

Cited by in corpus (11)

• 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
• The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: Entropy, universality, chaos and cascades in the renormalization group flow
• Quenched-Vacancy Induced Spin-Glass Order
• Reduction of Dilute Ising Spin Glasses
• Entropic long range order in a 3D spin glass model
• Physics of the Edwards-Anderson Spin Glass in Dimensions $d=3,\dots ,8$ from Heuristic Ground State Optimization
• Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices
• Critical Percolation Phase and Thermal BKT Transition in a Scale-Free Network with Short-Range and Long-Range Random Bonds