Monte Carlo study of the XY-model on Sierpinski gasket

Details Monte Carlo study of the XY-model on Sierpinski gasket Monte Carlo study of the XY-model on Sierpinski gasket

2010-06-10

arxiv.org/abs/1006.2138v2

Phase Transitions 83, pp.572-580 (2010)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 7 figures, published in Phase Transitions, August 2010

Scientific paper

10.1080/01411594.2010.500804

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.

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