### 抄録

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.

元の言語 | English |
---|---|

ページ（範囲） | 1-4 |

ページ数 | 4 |

ジャーナル | Physical Review B - Condensed Matter and Materials Physics |

巻 | 66 |

発行部数 | 18 |

DOI | |

出版物ステータス | Published - 2002 1 1 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### これを引用

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

研究成果: 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 -