Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-10-03
Phys. Rev. B66, 180401(R) (2002)
Physics
Condensed Matter
Statistical Mechanics
4 pages, RevTeX4, to appear in Phys. Rev. B, Rapid Communications
Scientific paper
10.1103/PhysRevB.66.180401
We study the finite-size scaling (FSS) property of the correlation ratio, the ratio of the correlation functions with different distances. It is shown that the correlation ratio is a good estimator to determine the critical point of the second-order transition using the FSS analysis. The correlation ratio is especially useful for the analysis of the Kosterlitz-Thouless (KT) transition. We also present a generalized scheme of the probability-changing cluster algorithm, which has been recently developed by the present authors, based on the FSS property of the correlation ratio. We investigate the two-dimensional quantum XY model of spin 1/2 with this generalized scheme, obtaining the precise estimate of the KT transition temperature with less numerical effort.
Okabe Yutaka
Tomita Yusuke
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