Potts-model formulation of percolation and branched polymers on a fractal lattice

Abstract

We present exact and complete recursion relations for the partition and correlation functions of the q-state Potts model, in a magnetic field, on a Sierpiński-gasket fractal lattice. In the q=1 limit, we obtain results that are relevant to the cluster statistics associated with percolation and branched-polymer problems. © 1993 The American Physical Society.