Real space renormalisation group study of bond-site percolation on an anisotropic triangular lattice

Abstract

The authors consider the problem of bond-site percolation on a triangular lattice in which bonds are separated into two classes with different occupation probabilities. Pure site and pure bond percolation on the triangular and square lattices are special cases of this system. They use an approximate real space renormalisation group treatment to identify the critical surface and present evidence for the universality of critical exponents for site, bond and mixed bond-site percolation, except at a single point in the space which corresponds to percolation in one dimension.