Absence of phase transition in the XY-model on Menger sponge
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.
Year of publication: |
2014
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Authors: | Przedborski, M.A. ; Mitrović, B. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 399.2014, C, p. 89-97
|
Publisher: |
Elsevier |
Subject: | XY-model | Fractal | Menger sponge | Monte Carlo simulations |
Saved in:
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