On the 3d Ising Spin Glass

TL;DR

This paper investigates the nature of the phase transition in the 3D Ising spin glass, using large-scale simulations and finite size scaling, finding evidence for either a finite temperature transition or a zero-temperature singularity.

Contribution

The study introduces a modified local action and applies extensive finite size scaling analysis to large lattice simulations of the 3D Ising spin glass.

Findings

Data compatible with a finite temperature transition

Data compatible with a zero-temperature singularity

Uses large lattice simulations and a modified local action

Abstract

We study the $3d$ Ising spin glass with $\pm 1$ couplings. We introduce a modified local action. We use finite size scaling techniques and very large lattice simulations. We find that our data are compatible both with a finite $T$ transition and with a $T=0$ singularity of an unusual type.