### 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) (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.

Original language | English |
---|---|

Pages (from-to) | 1-5 |

Number of pages | 5 |

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

Volume | 65 |

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

**Probability-changing cluster algorithm for two-dimensional (formula presented) and clock models.** / Tomita, Yusuke; Okabe, Yutaka.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Probability-changing cluster algorithm for two-dimensional (formula presented) and clock models

AU - Tomita, Yusuke

AU - Okabe, Yutaka

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84885125003&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885125003&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.65.184405

DO - 10.1103/PhysRevB.65.184405

M3 - Article

AN - SCOPUS:84885125003

VL - 65

SP - 1

EP - 5

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 18

ER -