Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses

TL;DR

This study uses Monte Carlo simulations to investigate whether a phase transition exists in three-dimensional spin glasses under a random field, finding no evidence of an Almeida-Thouless line, unlike the zero-field case.

Contribution

The paper provides the first finite-size scaling analysis indicating the absence of an Almeida-Thouless line in short-range 3D Ising spin glasses with a random field.

Findings

No transition observed in the presence of a random field

Finite-size scaling shows no Almeida-Thouless line

Contrasts with zero-field behavior

Abstract

We present results of Monte Carlo simulations of the three-dimensional Edwards-Anderson Ising spin glass in the presence of a (random) field. A finite-size scaling analysis of the correlation length shows no indication of a transition, in contrast to the zero-field case. This suggests that there is no Almeida-Thouless line for short-range Ising spin glasses.