Bhattacharjee, S. M. ; Ho, Jyh-S. ; Johnson, J. A. Y. (1997) Translational invariance in critical phenomena ising model on a quasi-lattice Journal of Physics A: Mathematical and General, 20 (13). pp. 4439-4448. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/20/13/043
Related URL: http://dx.doi.org/10.1088/0305-4470/20/13/043
Abstract
The Ising model on a two-dimensional quasi-crystal (the Penrose tiling) is studied. Using the correlation inequality and the duality transformation bounds for the critical temperature are obtained as 1.82<Tc<7. Monte Carlo simulations on finite lattices give an estimate of Tc=2.41+or-0.02. Finite size scaling analysis of the Monte Carlo data shows that the system belongs to the same universality class as the Ising model on the two-dimensional Bravais lattices. However, the finite size scaling forms do not reproduce the asymptotic limits in the range studied whereas, in the same range, the periodic lattices are known to behave as expected.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 3096 |
| Deposited On: | 09 Oct 2010 09:51 |
| Last Modified: | 19 May 2011 10:13 |
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