Absence of phase transition in the XY-model on Menger sponge

作者：Przedborski M A; Mitrovic B^*

来源：Physica A: Statistical Mechanics and Its Applications , 2014, 399: 89-97.

DOI：10.1016/j.physa.2013.10.023

• XY-model
• Fractal
• Menger sponge
• Monte Carlo simulations

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.

• 出版日期2014-4-1