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Titolo:
Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling
Autore:
Xiong, G; Zhang, ZH; Tian, DC;
Indirizzi:
Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China Wuhan Univ Wuhan Peoples R China 430072 s, Wuhan 430072, Peoples R China Acad Sinica, Int Ctr Mat Phys, Shenyang 110015, Peoples R China Acad Sinica Shenyang Peoples R China 110015 yang 110015, Peoples R China
Titolo Testata:
PHYSICA A
fascicolo: 3-4, volume: 265, anno: 1999,
pagine: 547 - 556
SICI:
0378-4371(19990401)265:3-4<547:RRGATT>2.0.ZU;2-6
Fonte:
ISI
Lingua:
ENG
Soggetto:
ISING-MODEL; LATTICE; PHASE;
Keywords:
one-step real-space renormalization group; q-state Potts model; critical exponents; bond percolation threshold; Ising critical temperature;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
23
Recensione:
Indirizzi per estratti:
Indirizzo: Tian, DC Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China Wuhan Univ Wuhan Peoples R China 430072 430072, Peoples R China
Citazione:
G. Xiong et al., "Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling", PHYSICA A, 265(3-4), 1999, pp. 547-556

Abstract

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 regionbetween q = 1 and q = 4 are obtained. The bond percolation (BP) threshold and Ising critical temperature in the isotropic case are also obtained. Thecomparison 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.

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Documento generato il 04/12/20 alle ore 09:53:34