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Monte Carlo study of the XY-model on Sierpinski gasket

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.

preprint2010arXivOpen access
Bozidar MitrovicShyamal K. Bose
cond-mat.stat-mechcond-mat.supr-con
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Bozidar MitrovicShyamal K. Bose

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