## 抄録

We extend the newly proposed probability-changing cluster (PCC) Monte Carlo algorithm to the study of systems with the vector order parameter. Wolff’s idea of the embedded cluster formalism is used for assigning clusters. The Kosterlitz-Thouless (KT) transitions for the two-dimensional (2D) (formula presented) and q-state clock models are studied by using the PCC algorithm. Combined with the finite-size scaling analysis based on the KT form of the correlation length, (formula presented) we determine the KT transition temperature and the decay exponent (formula presented) as (formula presented) and (formula presented) for the 2D (formula presented) model. We investigate two transitions of the KT type for the 2D q-state clock models with (formula presented) and confirm the prediction of (formula presented) at (formula presented) the low-temperature critical point between the ordered and (formula presented)-like phases, systematically.

本文言語 | English |
---|---|

ページ（範囲） | 1-5 |

ページ数 | 5 |

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

巻 | 65 |

号 | 18 |

DOI | |

出版ステータス | Published - 2002 |

外部発表 | はい |

## ASJC Scopus subject areas

- 電子材料、光学材料、および磁性材料
- 凝縮系物理学