Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass

TL;DR

This paper investigates the zero and low temperature properties of the two-dimensional $ ext{±}J$ Ising spin glass, revealing entropic stabilization of order at zero temperature and a new crossover length scale affecting low-temperature behavior.

Contribution

It provides the first detailed numerical analysis confirming droplet theory predictions and identifies a novel crossover length scale influencing low-temperature scaling.

Findings

Entropically-stabilized long-range order at zero temperature

Power-law dependence of heat capacity on temperature

Identification of a new crossover length scale

Abstract

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range spin glass order at zero temperature. The low temperature scaling behavior has an important new crossover length scale that produces a power-law dependence of the heat capacity on temperature.