1. Absence of phase transition in the XY-model on Menger sponge
- Author
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Przedborski, M. A. and Mitrovic, B.
- Subjects
Condensed Matter - Statistical Mechanics ,Condensed Matter - Superconductivity ,Physics - Computational Physics - Abstract
We have performed a Monte Carlo study of the classical XY-model on a Menger sponge with the Wolff cluster algorithm (U. Wolff, 1989). The Menger sponge is a fractal object with infinite order of ramification and fractal dimension D = log(20)/log(3) = 2.7268. From the dependence of the helicity modulus on system size and on boundary conditions, we conclude that there is no phase transition in the system at any finite temperature., Comment: 16 pages, 8 figures, accepted for publication in Physica A
- Published
- 2013
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