Chaos and universality in two-dimensional Ising spin glasses

TL;DR

This paper investigates the chaotic behavior and universal properties of two-dimensional Ising spin glasses, revealing how entropy-driven chaos depends on disorder type and affects low-temperature thermodynamics.

Contribution

It provides a coherent picture combining numerical methods and droplet scaling to understand chaos and universality in 2D Ising spin glasses, highlighting disorder-dependent effects.

Findings

Entropy-driven chaos length scale varies with disorder type.

Universality exists, but some critical exponents depend on disorder distribution.

Low-temperature specific heat is dominated by the chaos length scale in the $\

Abstract

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and produces "chaos", the extreme sensitivity of the state to temperature, is found to depend on the type of randomness. For the $\pm J$ model this length scale dominates the low-temperature specific heat. Although there is a type of universality, some critical exponents do depend on the distribution of disorder.