Department of Physics Papers

Document Type

Journal Article

Date of this Version

8-11-1975

Publication Source

Physical Review Letters

Volume

35

Issue

6

Start Page

327

Last Page

330

DOI

10.1103/PhysRevLett.35.327

Abstract

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.

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Date Posted: 12 August 2015

This document has been peer reviewed.