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

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.