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
1986 ◽  
Vol 33 (1) ◽  
pp. 450-475 ◽  
Author(s):  
D. H. Lee ◽  
J. D. Joannopoulos ◽  
J. W. Negele ◽  
D. P. Landau

2014 ◽  
Vol 25 (02) ◽  
pp. 1350087 ◽  
Author(s):  
BOŽIDAR MITROVIĆ ◽  
MICHELLE A. PRZEDBORSKI

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.


1998 ◽  
Vol 12 (29n30) ◽  
pp. 1237-1243 ◽  
Author(s):  
H. P. Ying ◽  
H. J. Luo ◽  
L. Schülke ◽  
B. Zheng

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.


1984 ◽  
Vol 104 (8) ◽  
pp. 430-434 ◽  
Author(s):  
Hans De Raedt ◽  
Bart De Raedt ◽  
Jan Fivez ◽  
Ad Lagendijk

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

1996 ◽  
Vol 07 (03) ◽  
pp. 433-440 ◽  
Author(s):  
N. KAWASHIMA ◽  
MARK JARRELL ◽  
J.E. GUBERNATIS

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.


2007 ◽  
Vol 21 (20) ◽  
pp. 3591-3600 ◽  
Author(s):  
SMITA OTA ◽  
SNEHADRI BIHARI OTA

The microcanonical ensemble given by Boltzmann is used in the computer Monte Carlo simulation of 2D classical XY-model with the modified nearest neighbour interaction potential suggested by Domany, Schick and Swendsen. A relatively simple method to identify first-order transition in computer simulations of a statistical system is described. The critical value of p2 in this XY-model is determined using this method; which is found to increase with system size obeying a power law.


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