Essential finite-size effect in the 2D XY model
Materials Science
2009-10-31 v2 Statistical Mechanics
Abstract
The thermodynamics of the 2D XY model is formulated by a transfer matrix method and analyzed by a density matrix renormalization group. The finite-size scaling and the beta function of the model are studied by the Roomany-Wyld renormalization group theory. It is found that the 2D XY model has an essential finite-size effect and the Berezinskii-Kosterlitz-Thouless transition with the critical temperature TBKT = 0.892 appears in a finite system of 2000 - 3000 spins as a massless to massive transition with the effective critical temperature Tc = 1.07 " 0.01.
Cite
@article{arxiv.cond-mat/9901314,
title = {Essential finite-size effect in the 2D XY model},
author = {S. G. Chung},
journal= {arXiv preprint arXiv:cond-mat/9901314},
year = {2009}
}
Comments
14 pages including figures, a minor correction