Invaded cluster simulations of the XY model in two and three dimensions

Details Invaded cluster simulations of the XY model in two and three dimensions Invaded cluster simulations of the XY model in two and three dimensions

2001-05-07

arxiv.org/abs/cond-mat/0105143v2

Phys.Rev. E65 (2002) 026702

Physics

Condensed Matter

Statistical Mechanics

30 pages, 11 figures, problem viewing figures corrected in v2

Scientific paper

10.1103/PhysRevE.65.026702

The invaded cluster algorithm is used to study the XY model in two and three dimensions up to sizes 2000^2 and 120^3 respectively. A soft spin O(2) model, in the same universality class as the 3D XY model, is also studied. The static critical properties of the model and the dynamical properties of the algorithm are reported. The results are K_c=0.45412(2) for the 3D XY model and eta=0.037(2) for the 3D XY universality class. For the 2D XY model the results are K_c=1.120(1) and eta=0.251(5). The invaded cluster algorithm does not show any critical slowing for the magnetization or critical temperature estimator for the 2D or 3D XY models.

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