Abstract
The static critical behaviour of the three-state Potts model on the two-dimensional (2D) quasiperiodic octagonal tiling is studied by means of Monte Carlo simulations. Our investigation has been carried out using a finite-size scaling analysis of octagonal tilings with free boundary conditions. The estimated critical exponents α, γ and v strongly suggest that the three-state Potts model on the octagonal tiling belongs to the same universality class as the three-state Potts model on 2D periodic lattices.
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© 1997 Springer-Verlag Berlin Heidelberg
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Boutry, T., Ledue, D., Landau, D.P. (1997). Three-State Potts Model on the Quasiperiodic Octagonal Tiling. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IX. Springer Proceedings in Physics, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60597-0_11
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DOI: https://doi.org/10.1007/978-3-642-60597-0_11
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