Potts models on hierarchical lattices and Renormalization Group dynamics II: examples and numerical results

Details Potts models on hierarchical lattices and Renormalization Group dynamics II: examples and numerical results Potts models on hierarchical lattices and Renormalization Group dynamics II: examples and numerical results

2007-11-28

arxiv.org/abs/0711.4610v2

Physics

Condensed Matter

Statistical Mechanics

16 pages, 13 figures

Scientific paper

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 the ones we can study in the general framework of hierarchical lattices, developed in a previous paper.

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