%0 Journal Article
%T Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition
%A X. P. Qin
%A B. Zheng
%A N. J. Zhou
%J Physics
%D 2012
%I arXiv
%R 10.1088/1751-8113/44/34/345005
%X With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of the dynamic systems. The dynamic scaling behavior of the pseudo-magnetization and Binder cumulant is carefully analyzed, and the critical exponents are determined. To illustrate the dynamic effect of the topological defect, similar analysis for the the dynamic relaxation with a spin-wave initial state is also performed for comparison. We demonstrate that a limited amount of quenched disorder in the core of the vortex state may alter the dynamic universality class. Further, theoretical calculations based on the long-wave approximation are presented.
%U http://arxiv.org/abs/1201.6423v1