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

Yusuke Tomita, Yutaka Okabe

Research output: Contribution to journalArticle

5 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 languageEnglish
Pages (from-to)1-4
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number18
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

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Superconducting transition temperature
scaling
estimators
critical point
transition temperature
estimates

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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AB - 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.

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