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arXiv · 1006.2138

Monte Carlo study of the XY-model on Sierpinski gasket

Bozidar Mitrovic·Shyamal K. Bose
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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.

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BibTeXRIS

Bozidar Mitrovic, Shyamal K. Bose. 2010-06-10. Monte Carlo study of the XY-model on Sierpinski gasket. https://doi.org/10.1080/01411594.2010.500804

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