Small Window Overlaps Are Effective Probes of Replica Symmetry Breaking in 3D Spin Glasses

TL;DR

This paper demonstrates that small window overlaps in 3D spin glasses effectively probe the replica symmetry breaking phase, showing they behave similarly to full overlaps and are useful for studying spin glass features.

Contribution

It provides numerical evidence that small window overlaps reflect the replica symmetry breaking structure in 3D spin glasses, challenging previous assumptions about their triviality.

Findings

Small window overlaps behave like full volume overlaps.

Finite volume effects influence small window overlaps.

Small window overlaps are valuable tools for studying spin glass phases.

Abstract

We compute numerically small window overlaps in the three dimensional Edwards Anderson spin glass. We show that they behave in the way implied by the Replica Symmetry Breaking Ansatz, that they do not qualitatively differ from the full volume overlap and do not tend to a trivial function when increasing the lattice volume. On the contrary we show they are affected by small finite volume effects, and are interesting tools for the study of the features of the spin glass phase.