B. Mitrovic, M. A. Przedborski
Published 2013-08-16Version 1
We have performed a Monte Carlo study of the classical XY-model on a Sierpi\' nski 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.
Comments: 11 pages, 7 figures, accepted for publication in International Journal of Modern Physics C (Computational Physics and Physical Computation)
Monte Carlo Study of a U(1)xU(1) system with π-statistical Interaction
Monte Carlo Study of an Inhomogeneous Blume-Capel Model
Monte Carlo study of the XY-model on Sierpinski gasket
![QR code for arXiv:1308.3692 [cond-mat.stat-mech]](http://oss.arxitics.com/images/favicon.svg)