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Eight-parameter renormalization group for Penrose lattices

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Abstract

The Ising model and the bond percolation model are set up with eight parameters on two-dimensional Penrose lattices. The behavior of their phase transition is studied by the use of a real-space renormalization group method. The resulting critical indices suggest that they belong to the universality class of two-dimensional periodic lattices.

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Aoyama, H., Odagaki, T. Eight-parameter renormalization group for Penrose lattices. J Stat Phys 48, 503–511 (1987). https://doi.org/10.1007/BF01019684

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