Date of this Version
Physical Review Letters
The relation between the s-state Ashkin-Teller-Potts (ATP) model and the percolation problem given by Fortuin and Kasteleyn is used to formulate a renormalization-group treatment of the percolation problem. Both an ε expansion near 6 spatial dimensions and cluster approximations for the recursion relations of a triangular lattice are used. Series results for the ATP model are adapted to the percolation problem.
Harris, A., Lubensky, T. C., Holcomb, W. K., & Dasgupta, C. (1975). Renormalization-Group Approach to Percolation Problems. Physical Review Letters, 35 (6), 327-330. http://dx.doi.org/10.1103/PhysRevLett.35.327
Date Posted: 12 August 2015
This document has been peer reviewed.