Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm

Yusuke Tomita; Yutaka Okabe

doi:10.1103/PhysRevB.66.180401

Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm

Yusuke Tomita, Yutaka Okabe

Department of Physics

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

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 spin- (formula presented) quantum (formula presented) model of with this generalized scheme, obtaining the precise estimate of the KT transition temperature with less numerical effort.

Original language	English
Pages (from-to)	1-4
Number of pages	4
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	66
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevB.66.180401
Publication status	Published - 2002 Jan 1

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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Tomita, Y., & Okabe, Y. (2002). Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm. Physical Review B - Condensed Matter and Materials Physics, 66(18), 1-4. https://doi.org/10.1103/PhysRevB.66.180401

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