Correlated Domains in Spin Glasses

TL;DR

This paper investigates the structure of correlated regions in 3D Edwards-Anderson spin glasses by analyzing cluster sizes, surfaces, and correlation lengths, revealing dense interfaces and space-filling properties.

Contribution

It provides a detailed analysis of correlated clusters and introduces a correlation length measure based on gyration radius in spin glasses.

Findings

Clusters have dense, space-filling interfaces.

Correlation length scales with system size.

Large excitations are characterized by their volume and surface.

Abstract

We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin correlation functions in thermalized spin configurations at low T on large lattices. We consider individual disorder samples and analyze connected clusters of very correlated sites: we analyze how the volume and the surface of these clusters increases with the lattice size. We qualify the important excitations of the system by checking how large they are, and we define a correlation length by measuring their gyration radius. We find that the clusters have a very dense interface, compatible with being space filling.