### 抜粋

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-1/2 quantum XY model of with this generalized scheme, obtaining the precise estimate of the KT transition temperature with less numerical effort.

元の言語 | English |
---|---|

記事番号 | 180401 |

ページ（範囲） | 1804011-1804014 |

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 |

出版物ステータス | Published - 2002 11 1 |

外部発表 | Yes |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

## フィンガープリント Finite-size scaling of correlation ratio and generalized scheme for the probability-changing cluster algorithm' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Physical Review B - Condensed Matter and Materials Physics*,

*66*(18), 1804011-1804014. [180401].