Numerical Studies of the Compressible Ising Spin Glass

TL;DR

This paper investigates how coupling spin interactions to particle distances in a 2D compressible Ising spin glass affects its energy landscape and phase transition, revealing a critical coupling where the spin-glass transition vanishes.

Contribution

It introduces a simple model linking compressibility to the disappearance of the spin-glass transition, highlighting the impact of coupling strength on phase behavior.

Findings

Energy shifts quadratically with the incompressible energy E_0

Existence of a critical coupling value where the spin-glass transition disappears

Model predicts the suppression of the phase transition at high coupling

Abstract

We study a two-dimensional compressible Ising spin glass at constant volume. The spin interactions are coupled to the distance between neighboring particles in the Edwards-Anderson model with +/- J interactions. We find that the energy of a given spin configuration is shifted from its incompressible value, E_0, by an amount quadratic in E_0 and proportional to the coupling strength. We then construct a simple model expressed only in terms of spin variables that predicts the existence of a critical value of the coupling above which the spin-glass transition disappears.