Probability-Changing Cluster Algorithm for Two-Dimensional Systems with the Vector Order Parameter

  • Y. Tomita
  • Y. Okabe
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 90)


The newly proposed probability-changing cluster (PCC) Monte Carlo algorithm is extended for the study of systems with the vector order parameter. We use Wolff’s idea of the embedded cluster formalism for assigning clusters. The Kosterlitz-Thouless transitions for the two-dimensional XY and q-state clock models are studied systematically by using the PCC algorithm


Monte Carlo Algorithm Logarithmic Correction Monte Carlo Step Clock Model Check Process 
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  1. 1.
    Y. Tomita and Y. Okabe: Phys. Rev. Lett. 86, 572 (2001); J. Phys. Soc. Jpn. 71, 1570 (2002)ADSCrossRefGoogle Scholar
  2. 2.
    R.H. Swendsen and J.S. Wang: Phys. Rev. Lett. 58, 86 (1987)ADSCrossRefGoogle Scholar
  3. 3.
    J.M. Kosterlitz and D. Thouless: J. Phys. C 6, 1181 (1973)ADSCrossRefGoogle Scholar
  4. 4.
    J.M. Kosterlitz: J. Phys. C 7, 1046 (1974)ADSCrossRefGoogle Scholar
  5. 5.
    J.V. José, L.P. Kadanoff, S. Kirkpatrick, and D.R. Nelson: Phys. Rev. B 16, 1217 (1977)ADSCrossRefGoogle Scholar
  6. 6.
    Y. Tomita and Y. Okabe: Phys. Rev. B 66, 180401 (2002)ADSCrossRefGoogle Scholar
  7. 7.
    U. Wolff: Phys. Rev. Lett. 62, 361 (1989)ADSCrossRefGoogle Scholar
  8. 8.
    P.W. Kasteleyn and CM. Fortuin: J. Phys. Soc. Jpn. Suppl. 26, 11 (1969); CM. Fortuin and P.W. Kasteleyn: Physica 57, 536 (1972)ADSGoogle Scholar
  9. 9.
    W. Janke: Phys. Rev. B 55, 3580 (1997)ADSCrossRefGoogle Scholar
  10. 10.
    P. Olsson: Phys. Rev. B 52, 4526 (1995)ADSCrossRefGoogle Scholar
  11. 11.
    B. Zheng, M. Schulz, and S. Trimper: Phys. Rev. E 59, R1351 (1999)ADSCrossRefGoogle Scholar
  12. 12.
    M.S.S. Challa and D.P. Landau: Phys. Rev. B 33, 437 (1986)ADSCrossRefGoogle Scholar
  13. 13.
    A. Yamagata and I. Ono: J. Phys. A 24, 265 (1991)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Y. Tomita
    • 1
  • Y. Okabe
    • 1
  1. 1.Department of PhysicsTokyo Metropolitan UniversityHachioji, TokyoJapan

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