Large-cell Monte Carlo renormalization group for a new type of environmental percolation
Copyright 1986 American Physical Society. The original published version of this article may be found at http://dx.doi.org/10.1103/PhysRevB.34.1977.
As a simple model for some diluted magnetic systems which present high percolation thresholds, we study a new type of environmental percolation model. In this model two neighboring magnetic sites are considered to be in the same cluster only if their nearest-neighbor sites in the same direction of the line joining them are also magnetic. By using a large-cell Monte Carlo renormalization-group method the percolation threshold in a square lattice is found to be pc=0.741±0.002 and the exponent for the correlation length 1ν=0.75±0.02, indicating that the model may be in the same universality class as the site percolation problem.