Simulation of 3d Ising spin glass model using three replicas: study of Binder cumulants

TL;DR

This paper presents numerical simulations of a 3D Ising spin glass model using three replicas to analyze Binder cumulants, providing insights into phase transitions and ultrametricity.

Contribution

It introduces a novel approach using three replicas to study Binder cumulants and explores phase transition behavior and ultrametricity in the 3D Ising spin glass model.

Findings

New measurements of Binder cumulants suggest possible phase transition.

Initial analysis indicates ultrametricity properties in the model.

Results contribute to understanding spin glass phase structure.

Abstract

We have carried out numerical simulations of the three-dimensional Ising spin glass model with first neighbour Gaussian couplings using three replicas for each sample of couplings. We have paid special attention to the measure of two types of Binder cumulant that can be constructed from the three possible overlaps between the replicas. We obtain new information about the possible phase transition and perform an initial analysis of the ultrametricity issue.