| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
|
|
|
|
Monte Carlo Simulation of the Potts Model on a Dodecagonal Quasiperiodic Structure |
| WEN Zhang-Bin1, HOU Zhi-Lin2, FU Xiu-Jun2**
|
1Institute of Information Technology, Jinan University, Guangzhou 510632
2Department of Physics, South China University of Technology, Guangzhou 510640
|
|
| Cite this article: |
|
WEN Zhang-Bin, HOU Zhi-Lin, FU Xiu-Jun 2011 Chin. Phys. Lett. 28 046102 |
|
|
|
|
Abstract By means of a Monte Carlo simulation, we study the three-state Potts model on a two-dimensional quasiperiodic structure based on a dodecagonal cluster covering pattern. The critical temperature and exponents are obtained from finite-size scaling analysis. It is shown that the Potts model on the quasiperiodic lattice belongs to the same universal class as those on periodic ones.
|
| Keywords:
61.44.Br
61.43.Bn
75.50.Kj
|
|
|
Received: 17 October 2010
Published: 29 March 2011
|
|
| PACS: |
61.44.Br
|
(Quasicrystals)
|
| |
61.43.Bn
|
(Structural modeling: serial-addition models, computer simulation)
|
| |
75.50.Kj
|
(Amorphous and quasicrystalline magnetic materials)
|
|
|
|
|
|
[1] Ishimasa T, Nissen H U and Fukano Y 1985 Phys. Rev. Lett. 55 511
[2] Dzugutov M 1993 Phys. Rev. Lett. 70 2924
[3] Talapin D V, Shevchenko E V, Bodnarchuk M I, Ye X, Chen J and Murray C B 2009 Nature 461 964
[4] Penrose R 1974 Bull. Inst. Math. Appl. 10 266
[5] Gummelt P 1996 Geometria Dedicata 62 1
[6] Ledue D, Boutry T, Landau D P and Teillet J 1997 Phys. Rev. B 56 10782
[7] Xiong G, Zhang Z H and Tian D C 1999 Physica A 265 547
[8] Fu X J, Ma J H, Hou Z L and Liu Y Y 2006 Phys. Lett. A 351 435
[9] Wen Z B, Ma J H and Fu X J 2008 Solid State Commun. 146 304
[10] Stampfli P 1986 Helv. Phys. Acta 59 1260
[11] Gähler F 1988 Quasicrystalline Materials ed Janot C and Dubois J M (Singapore: World Scientific) pp 272–284
[12] Fu H, Liao L G and Fu X J 2009 Chin. Phys. Lett. 26 098901
[13] Liao L G, Fu H and Fu X J 2009 Acta Phys. Sin. 58 7088 (in Chinese)
[14] Wolff U 1989 Phys. Rev. Lett. 62 361
[15] Binder K 1981 Z. Phys. B 43 119
[16] Privman V 1990 Finite Size Scaling and Numerical Simulation of Statistical Systems ed Privman V (Singapore: World Scientific) p 1
[17] Rodney J and Baxter F R S 1982 Exactly Solved Models in Statistical Mechanics (Orlando: Academic)
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
