MONTE CARLO STUDY OF THEXY-MODEL ON SIERPIŃSKI CARPET

Božidar Mitrović () and Michelle A. Przedborski ()
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Božidar Mitrović: Department of Physics, Brock University, 500 Glenridge Avenue, St. Catharines, Ontario L2S 3A1, Canada
Michelle A. Przedborski: Department of Physics, Brock University, 500 Glenridge Avenue, St. Catharines, Ontario L2S 3A1, Canada

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 02, 1-10

Abstract: We have performed a Monte Carlo (MC) study of the classicalXY-model on a Sierpiński carpet, which is a planar fractal structure with infinite order of ramification and fractal dimension 1.8928. We employed the Wolff cluster algorithm in our simulations and our results, in particular those for the susceptibility and the helicity modulus, indicate the absence of finite-temperature Berezinskii–Kosterlitz–Thouless (BKT) transition in this system.

Keywords: Fractals; XY-model; Monte Carlo; 64.60.al; 64.60.Bd; 64.60.De (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183113500873

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