Renormalization-group approach for critical percolation behavior in two dimensions
- 1 August 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 18 (3) , 1514-1517
- https://doi.org/10.1103/physrevb.18.1514
Abstract
A renormalization-group approach using a scaling transformation in real space is applied to the critical behavior of two-dimensional percolation systems. In various approximations for the triangular-site lattice and the square-bond lattice, the location of the fixed point and the correlation-length exponent are calculated by determining the behavior of the probabilities under a scale transformation. The fixed points for all approximations for the two lattices are found to be in complete agreement with known exact results for the critical percolation probability.Keywords
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