Site-diluted three dimensional Ising Model with long-range correlated disorder

TL;DR

This paper investigates three-dimensional site-diluted Ising models with long-range correlated disorder using Monte Carlo simulations, focusing on critical exponents and confirming analytical predictions.

Contribution

It introduces a Monte Carlo approach to analyze critical behavior in 3D disordered Ising models with long-range correlations, accounting for strong scaling corrections.

Findings

Critical exponent ν aligns with analytical predictions

Finite-size scaling effectively captures disorder effects

Long-range correlations influence critical behavior

Abstract

We study two different versions of the site-diluted Ising model in three dimensions with long-range spatially correlated disorder by Monte Carlo means. We use finite-size scaling techniques to compute the critical exponents of these systems, taking into account the strong scaling-corrections. We find a $\nu$ value that is compatible with the analytical predictions.