1. Department of Physics , Brock University , St. Catharines, Ontario, Canada L2S 3A1 bmitrovic@brocku.ca;3. Department of Physics , Brock University , St. Catharines, Ontario, Canada L2S 3A1
Abstract:
We have performed a Monte Carlo study of the classical XY-model on two-dimensional Sierpinski gaskets (SGs) 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 SG and is analogous to the absence of finite-temperature phase transition for the Ising model on fractals with a finite order of ramification.