Monte Carlo study of the XY-model on Sierpinski gasket
Abstract
We have performed a Monte Carlo study of the classical XY-model on two-dimensional Sierpinski gaskets of several cluster sizes. From the dependence of the helicity modulus on the cluster size we conclude that there is no phase transition in this system at a finite temperature. This is in agreement with previous findings for the harmonic approximation to the XY-model on Sierpinski gasket and is analogous to the absence of finite temperature phase transition for the Ising model on fractals with a finite order of ramification.
- Publication:
-
Phase Transitions, A Multinational Journal
- Pub Date:
- August 2010
- DOI:
- 10.1080/01411594.2010.500804
- arXiv:
- arXiv:1006.2138
- Bibcode:
- 2010PhaTr..83..572M
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Superconductivity
- E-Print:
- 9 pages, 7 figures, published in Phase Transitions, August 2010