Signature of the Ground-State Topology in the Low-Temperature Dynamics of Spin Glasses

TL;DR

This study demonstrates how the ground state topology influences the low-temperature dynamics of spin glasses, revealing that solidary and non-solidary spins account for dynamical heterogeneities.

Contribution

The paper introduces a classification of spins based on ground state topology and links it to finite temperature dynamical heterogeneities in spin glasses.

Findings

Solidary and non-solidary spins explain dynamical heterogeneities.

Ground state topology significantly impacts low-temperature dynamics.

Finite temperature behavior reflects ground state configurations.

Abstract

We numerically address the issue of how the ground state topology is reflected in the finite temperature dynamics of the $\pm J$ Edwards-Anderson spin glass model. In this system a careful study of the ground state configurations allows to classify spins into two sets: solidary and non-solidary spins. We show that these sets quantitatively account for the dynamical heterogeneities found in the mean flipping time distribution at finite low temperatures. The results highlight the relevance of taking into account the ground state topology in the analysis of the finite temperature dynamics of spin glasses.