Non-trivial link overlap distribution in three-dimensional Ising spin glasses

TL;DR

This paper studies the distribution of link overlaps in 3D Ising spin glasses, revealing that the distribution remains non-trivial with increasing system size, indicating complex state structures.

Contribution

It introduces a clustering methodology to analyze pairs of states and demonstrates that the link overlap distribution does not trivialize as system size grows.

Findings

Link overlap distribution remains non-trivial with larger systems

Clustering methodology identifies pairs of states contributing to P(Q)

Results suggest complex state organization in 3D Ising spin glasses

Abstract

We investigate the distributions of the link overlap, P(Q), in 3-dimensional Ising spin glasses. We use clustering methodology to identify a set of pairs of states from different Gibbs states, and calculate its contribution to P(Q). We find that the distribution over this set does not become trivial as the system size increases.