Real-space renormalization group approach of the Potts model on the octagonal quasi-periodic tiling
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A one-step real-space renormalization group (RSRG) transformation is used to study the ferromagnetic (FM) Potts model on the two-dimensional (2D) octagonal quasi-periodic tiling (OQT). The critical exponents of the correlation length in theq=1,2,3,4 cases and the crtitical surface of the Ising model are obtained. The results are discussed by comparing with previous results on the OQT and the square lattice (SQL).
Key wordsrenormalization quasi-periodic critical exponent
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- 3.Sorensen E S. Ising model on Penrose lattices: boundary conditions.Phys Rev, 1991,B44:9271Google Scholar
- 5.Ledue D. Static critical behavior of the ferromagnetic Ising model on the quasiperiodic octagonal tiling.Phys Rev, 1995,B51:12523Google Scholar
- 6.Ledue D. Static critical behavior of a weakly-frustrated Ising model on the octagonal tiling.Phys Rev, 1995, B53:3312Google Scholar