Cluster-size statistics of site-bond-correlated percolation models

We consider the cluster-size statistics of two types of site-bond-correlated percolation. In model A (B) [see Phys. Rev. B 40, 10 986 (1989)], the activation of a bond between two first-neighbor occupied sites is also dependent on the occupancy of both (either) of their own nearest neighbors, along the line joining them. The critical concentration for models A and Bt obtained from simulations on square lattices of sizes up to 2000x2000, is found to be 0.7405+/-0.0005 and 0.6145+/-0.0005, respectively. The resulting critical exponents indicate that both models are in the same universality class as ordinary independent (site or bond) percolation.