Critical temperature of the Ising model with correlated disorder

The critical temperature Tc of a simple three-dimensional Ising model with quenched correlated disorder was determined with Monte Carlo simulations. The dependence of Tc on the disorder parameters (the disorder strength and the correlation scale) agrees well with theoretical predictions [Korzhenevskii et al., J. Phys. A 31 (1998) 927] of a percolative phase transition which cannot be described within the standard approach based on the replica trick.