Static Chaos in Spin Glasses against quenched disorder perturbations

TL;DR

This paper investigates the chaotic response of spin glasses to quenched disorder perturbations, providing exact solutions for mean-field models and numerical evidence, highlighting the critical role of four dimensions.

Contribution

It offers the first exact solution for mean-field spin glass chaos under quenched disorder perturbations and discusses extensions to short-range models.

Findings

Mean-field spin glasses exhibit chaos similar to magnetic field perturbations.

Numerical simulations support the theoretical predictions.

Four dimensions is identified as a critical dimension for mean-field validity.

Abstract

We study the chaotic nature of spin glasses against perturbations of the realization of the quenched disorder. This type of perturbation modifies the energy landscape of the system without adding extensive energy. We exactly solve the mean-field case, which displays a very similar chaos to that observed under magnetic field perturbations, and discuss the possible extension of these results to the case of short-ranged models. It appears that dimension four plays the role of a specific critical dimension where mean-field theory is valid. We present numerical simulation results which support our main conclusions.