### 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 |
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Pages (from-to) | 1-4 |

Number of pages | 4 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 66 |

Issue number | 18 |

DOIs | |

Publication status | Published - 2002 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

**Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm.** / Tomita, Yusuke; Okabe, Yutaka.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm

AU - Tomita, Yusuke

AU - Okabe, Yutaka

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84897817284&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897817284&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.66.180401

DO - 10.1103/PhysRevB.66.180401

M3 - Article

AN - SCOPUS:84897817284

VL - 66

SP - 1

EP - 4

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 18

ER -