On the Phase Structure of the 3D Edwards Anderson Spin Glass

TL;DR

This paper numerically investigates the phase transition and low-temperature phase of the 3D Edwards Anderson spin glass, providing evidence for continuous replica symmetry breaking through critical exponents and correlation functions.

Contribution

It offers new numerical characterization of the phase transition and low-temperature phase, confirming continuous replica symmetry breaking in 3D spin glasses.

Findings

Critical exponents computed on large lattices.

Overlap distribution and correlation functions analyzed.

Results support continuous replica symmetry breaking.

Abstract

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the overlap probability distribution and the equilibrium overlap-overlap correlation functions. We find a clear agreement with off-equilibrium results from previous work. These results strongly support the existence of a continuous spontaneous replica symmetry breaking in three dimensional spin glasses.