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Absence of phase transition in the XY-model on Menger sponge
Published 15 Oct 2013 in cond-mat.stat-mech, cond-mat.supr-con, and physics.comp-ph | (1310.4065v1)
Abstract: We have performed a Monte Carlo study of the classical XY-model on a Menger sponge with the Wolff cluster algorithm (U. Wolff, 1989). The Menger sponge is a fractal object with infinite order of ramification and fractal dimension D = log(20)/log(3) = 2.7268. From the dependence of the helicity modulus on system size and on boundary conditions, we conclude that there is no phase transition in the system at any finite temperature.
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