### Abstract

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) XY 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, ξαexp(c/√T/T_{KT} - 1), we determine the KT transition temperature and the decay exponent η as T_{KT} = 0.8933(6) and η = 0.243(4) for the 2D XY model. We investigate two transitions of the KT type for the 2D q-state clock models with q = 6,8,12 and confirm the prediction of η = 4/q^{2} at T_{1}, the low-temperature critical point between the ordered and XY-like phases, systematically.

Original language | English |
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Article number | 184405 |

Pages (from-to) | 1844051-1844055 |

Number of pages | 5 |

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

Volume | 65 |

Issue number | 18 |

Publication status | Published - 2002 May 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

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

*65*(18), 1844051-1844055. [184405].