Monte Carlo study of the XY-model on Sierpinski gasket
Statistical Mechanics
2010-08-09 v2 Superconductivity
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.
Keywords
Cite
@article{arxiv.1006.2138,
title = {Monte Carlo study of the XY-model on Sierpinski gasket},
author = {Bozidar Mitrovic and Shyamal K. Bose},
journal= {arXiv preprint arXiv:1006.2138},
year = {2010}
}
Comments
9 pages, 7 figures, published in Phase Transitions, August 2010