Critical exponents of the three dimensional diluted Ising model

TL;DR

This paper investigates the critical behavior of the three-dimensional diluted Ising model using Monte Carlo simulations, revealing that critical exponents are universal across dilution levels when properly extrapolated to infinite volume.

Contribution

It provides a comprehensive analysis of the critical exponents and universal cumulants of the diluted Ising model, emphasizing the importance of corrections-to-scaling for accurate results.

Findings

Critical exponents are dilution-independent after extrapolation.

Universal cumulants do not depend on dilution level.

Proper finite-size scaling is essential for accurate critical parameter estimation.

Abstract

We study the phase diagram of the site-diluted Ising model in a wide dilution range, through Monte Carlo simulations and Finite-Size Scaling techniques. Our results for the critical exponents and universal cumulants turn out to be dilution-independent, but only after a proper infinite volume extrapolation, taking into account the leading corrections-to-scaling terms.