Why temperature chaos in spin glasses is hard to observe

TL;DR

This paper investigates the difficulty of observing temperature chaos in spin glasses by estimating the overlap length, revealing it to be large and thus explaining the experimental and numerical challenges.

Contribution

The study provides numerical estimates of the overlap length in 3D Ising spin glasses, clarifying why temperature chaos is hard to detect.

Findings

Overlap length is large in 3D Ising spin glasses.

Large overlap length explains observational difficulties.

Numerical methods used include transfer matrix and Migdal-Kadanoff schemes.

Abstract

The overlap length of a three-dimensional Ising spin glass on a cubic lattice with Gaussian interactions has been estimated numerically by transfer matrix methods and within a Migdal-Kadanoff renormalization group scheme. We find that the overlap length is large, explaining why it has been difficult to observe spin glass chaos in numerical simulations and experiment.