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Monte Carlo Study Of Thexy-Model On Sierpiński Carpet

Author

Listed:
  • 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)

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.

Suggested Citation

  • Božidar Mitrović & Michelle A. Przedborski, 2014. "Monte Carlo Study Of Thexy-Model On Sierpiński Carpet," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(02), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:02:n:s0129183113500873
    DOI: 10.1142/S0129183113500873
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