Single cluster algorithm for the site-bond-correlated Ising model

TL;DR

This paper extends the Wolff algorithm to handle correlated interactions in diluted magnetic systems, enabling efficient phase diagram analysis and demonstrating improved autocorrelation times in the site-bond-correlated Ising model.

Contribution

The paper introduces a modified Wolff algorithm for correlated diluted systems, facilitating accurate phase diagram computation and improved simulation efficiency.

Findings

Autocorrelation time decreases with dilution and correlation.

The algorithm accurately maps the phase diagram in temperature-concentration space.

Enhanced performance of the Wolff algorithm in correlated diluted systems.

Abstract

We extend the Wolff algorithm to include correlated spin interactions in diluted magnetic systems. This algorithm is applied to study the site-bond-correlated Ising model on a two dimensional square lattice. We use a finite size scaling procedure to obtain the phase diagram in the temperature-concentration (Tc,C) space. We also have verified that the autocorrelation time diminishes in the presence of dilution and correlation, showing that the Wolff algorithm performs even better in such situations.