Disorder chaos in spin glasses

TL;DR

This paper numerically investigates disorder chaos in spin glasses across various models, revealing universal scaling laws and detailed properties of ground state overlaps and spin cluster geometries, with implications for temperature chaos.

Contribution

It provides the first comprehensive numerical analysis of disorder chaos in spin glasses across multiple models, identifying universal scaling behaviors and detailed ground state properties.

Findings

Universal scaling laws for disorder chaos across models

Detailed distribution of ground state overlaps

Geometrical characterization of spin clusters

Abstract

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all cases, simple scaling laws, involving the size of the system and the strength of the perturbation, are obeyed. We characterize in detail the distribution of overlap between ground states and the geometrical properties of flipped spin clusters in both the weak and strong chaos regime. The possible relevance of these results to temperature chaos is discussed.