Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling

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	Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling
	G. Xiong; Z. H. Zhang; D. C. Tian
	1999
发表期刊	Physica a-Statistical Mechanics and Its Applications
ISSN	0378-4371
卷号	265 期号:3-4 页码:547-556
摘要	A one-step real-space renormalization group (RSRG) transformation is used to study the q-state Potts model on the two-dimensional (2D) Penrose tiling (PT). The critical exponents of the correlation length nu(q) in the region between q = 1 and q = 4 are obtained. The bond percolation (BP) threshold and Ising critical temperature in the isotropic case are also obtained. The comparison of the results with previous results on the PT and the exact results on square lattice (SQL) indicates that the universal classes of q-state Ports model on PT and SQL may be the same. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
部门归属	wuhan univ, dept phys, wuhan 430072, peoples r china. acad sinica, int ctr mat phys, shenyang 110015, peoples r china.;tian, dc (reprint author), wuhan univ, dept phys, wuhan 430072, peoples r china;labcdw@dns.whu.edu.cn
关键词	One-step Real-space Renormalization Group Q-state Potts Model Critical Exponents Bond Percolation Threshold Ising Critical Temperature Ising-model Lattice Phase
URL	查看原文
WOS记录号	WOS:000079489200020
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/37541
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	G. Xiong,Z. H. Zhang,D. C. Tian. Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling[J]. Physica a-Statistical Mechanics and Its Applications,1999,265(3-4):547-556.
APA	G. Xiong,Z. H. Zhang,&D. C. Tian.(1999).Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling.Physica a-Statistical Mechanics and Its Applications,265(3-4),547-556.
MLA	G. Xiong,et al."Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling".Physica a-Statistical Mechanics and Its Applications 265.3-4(1999):547-556.