Title

Large-cell Monte Carlo renormalization group for a new type of environmental percolation

Journal Title

Physical Review B

Publication Date

8-1-1986

Abstract

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.

Subjects

Quantum theory; Renormalization (Physics)

Publication Information

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.

DOI

10.1103/PhysRevB.34.1977

Peer-Reviewed

Yes

Document Type

Journal Article

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