scholarly journals MONTE CARLO STUDY OF THE XY-MODEL ON SIERPIŃSKI CARPET

2014 ◽  
Vol 25 (02) ◽  
pp. 1350087 ◽  
Author(s):  
BOŽIDAR MITROVIĆ ◽  
MICHELLE A. PRZEDBORSKI
Keyword(s):  
Monte Carlo ◽  
Fractal Dimension ◽  
Infinite Order ◽  
Fractal Structure ◽  
Cluster Algorithm ◽  
Monte Carlo Study ◽  
Xy Model ◽  
Sierpinski Carpet ◽  
Bkt Transition ◽  
Sierpiński Carpet

We have performed a Monte Carlo (MC) study of the classical XY-model on a Sierpiński 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.

CLUSTER MONTE CARLO STUDY OF THE QUANTUM XY MODEL IN TWO DIMENSIONS

1996 ◽  
Vol 07 (03) ◽  
pp. 433-440 ◽  
Author(s):  
N. KAWASHIMA ◽  
MARK JARRELL ◽  
J.E. GUBERNATIS
Keyword(s):  
Monte Carlo ◽  
Statistical Inference ◽  
Structure Factor ◽  
Cluster Algorithm ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Xy Model ◽  
Dynamical Structure ◽  
Dynamical Structure Factor ◽  
Cluster Monte Carlo

The recent generalization of the Fortuin-Kasteleyn percolation representation and the Swendsen-Wang (SW) cluster algorithm is reviewed. The new representation yields cluster algorithm for the XYZ model with arbitrary magnitude of spins, with arbitrary anisotropies, and in any dimensions. The new algorithm often reduces computational autocorrelation times by several orders of magnitude. By using the new algorithm together with methods of Bayesian statistical inference, we obtained the dynamical structure factor S (k, ω) for the S =1/2 XY model in two dimensions.

Symmetry analysis and Monte Carlo study of a frustrated antiferromagnetic planar (XY) model in two dimensions

1986 ◽  
Vol 33 (1) ◽  
pp. 450-475 ◽  
Author(s):  
D. H. Lee ◽  
J. D. Joannopoulos ◽  
J. W. Negele ◽  
D. P. Landau
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Symmetry Analysis ◽  
Xy Model

scholarly journals Dynamic Monte Carlo Study of the Two-Dimensional Quantum XY Model

1998 ◽  
Vol 12 (29n30) ◽  
pp. 1237-1243 ◽  
Author(s):  
H. P. Ying ◽  
H. J. Luo ◽  
L. Schülke ◽  
B. Zheng
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Xy Model ◽  
Dynamic Scaling ◽  
Two Dimensional ◽  
Time Dynamic ◽  
Dynamic Monte Carlo ◽  
Short Time ◽  
Dynamical Exponents

We present a dynamic Monte Carlo study of the spin-1/2 quantum XY model in two-dimensions at the Kosterlitz–Thouless phase transition temperature. The short-time dynamic scaling behaviour is found and the dynamical exponents θ, z and the static exponent η are determined.

scholarly journals Monte Carlo study of the two-dimensional spin-1/2 XY model

1984 ◽  
Vol 104 (8) ◽  
pp. 430-434 ◽  
Author(s):  
Hans De Raedt ◽  
Bart De Raedt ◽  
Jan Fivez ◽  
Ad Lagendijk
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Xy Model ◽  
Two Dimensional

scholarly journals Monte Carlo study of asymmetric 2D XY model

1997 ◽  
Vol 246 (3-4) ◽  
pp. 633-645 ◽  
Author(s):  
Christian Holm ◽  
Wolfhard Janke ◽  
Tetsuo Matsui ◽  
Kazuhiko Sakakibara
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Xy Model

Critical behaviourof the 3D XY-model: A Monte Carlo study

1993 ◽  
Vol 30 ◽  
pp. 838-841 ◽  
Author(s):  
Aloysius P. Gottlob ◽  
Martin Hasenbusch ◽  
Steffen Meyer
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Xy Model
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