MONTE CARLO STUDY OF THE XY-MODEL ON SIERPINSKI CARPET

被引:1
|
作者
Mitrovic, Bozidar [1 ]
Przedborski, Michelle A. [1 ]
机构
[1] Brock Univ, Dept Phys, St Catharines, ON L2S 3A1, Canada
来源
基金
加拿大自然科学与工程研究理事会;
关键词
Fractals; XY-model; Monte Carlo; PHASE-TRANSITIONS; SUPERFLUID DENSITY; FRACTALS; LATTICES; GASKET;
D O I
10.1142/S0129183113500873
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We have performed a Monte Carlo (MC) study of the classical XY-model on a Sierpinski carpet, which is a planar fractal structure with infinite order of ramification and fractal dimension 1.8928. We employed the Wolff cluster algorithm in our simulations and our results, in particular those for the susceptibility and the helicity modulus, indicate the absence of finite-temperature Berezinskii-Kosterlitz-Thouless (BKT) transition in this system.
引用
收藏
页数:10
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