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Dynamic relaxation of topological defect at Kosterlitz–Thouless phase transition - MaRDI portal

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Dynamic relaxation of topological defect at Kosterlitz–Thouless phase transition

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Publication:3091868

DOI10.1088/1751-8113/44/34/345005zbMATH Open1226.82047arXiv1201.6423OpenAlexW3100181871MaRDI QIDQ3091868

Author name not available (Why is that?)

Publication date: 14 September 2011

Published in: (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/1201.6423



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