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Real-Space Renormalization Group Approach of the Potts Model on the Octagonal Quasi-Periodic Tiling

Real Space Renormalization Group Approach of the Potts Model on the Octagonal Quasi Periodic Tiling
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摘要 A one step real space renormalization group(RSRG)transformation is used to study the ferromagnetic(FM)Potts model on the two dimemsional (2D) octagonal quasi periodic tiling(OQT). The critical exponents of the correlation length in the q =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). A one step real space renormalization group(RSRG)transformation is used to study the ferromagnetic(FM)Potts model on the two dimemsional (2D) octagonal quasi periodic tiling(OQT). The critical exponents of the correlation length in the q =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).
出处 《Wuhan University Journal of Natural Sciences》 EI CAS 1998年第3期39-42,共4页 武汉大学学报(自然科学英文版)
关键词 renormalization quasi periodic critical exponent renormalization,quasi periodic, critical exponent
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