Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality

TL;DR

This study uses Monte Carlo simulations to analyze the critical behavior and universality of the 3D bond-diluted Ising spin glass model, revealing that it shares the same universality class as the undiluted model.

Contribution

It provides high-precision finite-size scaling functions and critical exponents for the 3D bond-diluted EA model, demonstrating universality across different dilution types and interaction distributions.

Findings

Bond-diluted model shares universality class with undiluted EA model.

Finite-size scaling functions show small corrections to scaling.

Strong evidence for universality of the spin glass transition.

Abstract

We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the universal finite-size scaling (FSS) functions and the critical exponents with high statistical accuracy. We observe small corrections to scaling for the measured observables. The critical quantities and the FSS functions indicate clearly that the bond-diluted model for dilutions above the critical dilution p*, at which a spin glass (SG) phase appears, lies in the same universality class as the 3D undiluted EA model with binary interactions. A comparison with the FSS functions of the 3D site-diluted EA model with Gaussian interactions at a site occupation of 62.5% gives very strong evidence for the universality of the SG transition in the 3D EA model.