Potts models on hierarchical lattices and renormalization group dynamics: II. Examples and numerical results

Abstract

We obtain the exact renormalization map and plots of Lee–Yang and Fisher zeros distributions for Potts models on a number of hierarchical lattices: the diamond hierarchical lattice, a lattice we call spider web, the Sierpinski gasket and cylinders. Such models are only examples among those we can study in the general framework of hierarchical lattices, developed in a previous paper.