Evidence for Pairing of Semions in Finite Systems

  • Weikang Wu
  • C. Kallin
  • A. Brass


We present the results of numerical studies of semions on a lattice. From our studies of the pairing energies, flux quantization and effects of external magnetic fields, we find strong evidence in support of the theory that semions will pair due to their statistical interaction and form a coherent or superfluid ground state.


External Magnetic Field Ground State Energy Thermodynamic Limit Flux Tube Virial Coefficient 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Laidlaw and DeWittPhys. Rev. D 3, 1375 (1971).ADSCrossRefGoogle Scholar
  2. J.M. Leinaas and J. Myrheim, Nuovo cimento 37B, 1, (1977).ADSGoogle Scholar
  3. 2.
    F. Wilczek, Phys. Rev. Lett. 481144 (1982).MathSciNetADSCrossRefGoogle Scholar
  4. Y.S. Wu, Phys. Rev. Lett. 522013 (1984).ADSCrossRefGoogle Scholar
  5. 3.
    R. Jackiw and C. Rebbi, Phys. Rev. Lett. 361116 (1976).ADSCrossRefGoogle Scholar
  6. E. Witten, Phys. Lett. 86B283 (1979).Google Scholar
  7. A. Goldhabar, Phys. Rev. Lett. 49905 (1982).ADSCrossRefGoogle Scholar
  8. G.W. Semenoff, Phys. Rev. Lett. 61517 (1988).MathSciNetADSCrossRefGoogle Scholar
  9. 4.
    B.I. Harperin, Phys. Rev. Lett. 521583 (1984).ADSCrossRefGoogle Scholar
  10. D. Arovas, J.R. Schrieffer, and F. Wilczek, Phys. Rev. Lett. 53722 (1984).ADSCrossRefGoogle Scholar
  11. 5.
    R.B. Laughlin, Science 242, 525 (1988).ADSCrossRefGoogle Scholar
  12. V. Kalmeyer and R.B. Laughlin, Phys. Rev. Lett. 601057 (1988).CrossRefGoogle Scholar
  13. A. Fetter, C. Hanna, and R.B. Laughlin, Phys. Rev. B 39, 9679 (1989).ADSCrossRefGoogle Scholar
  14. Y.-H. Chen, F. Wilczek, E. Witten, and B.I. Halperin, preprint.Google Scholar
  15. 6.
    F. Wilczek, Phys. Rev. Lett. 49975 (1982).MathSciNetADSGoogle Scholar
  16. 7.
    D. Arovas, J.R. Schrieffer, F. Wilczek, and A. Zee, Nucl. Phys. B251117 (1985).MathSciNetADSCrossRefGoogle Scholar
  17. 8.
    G.S. Canright, S.M. Girvin, and A. Brass, preprint.Google Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Weikang Wu
    • 1
  • C. Kallin
    • 1
  • A. Brass
    • 1
  1. 1.Institute for Materials Research and Department of PhysicsMcMaster UniversityHamiltonCanada

Personalised recommendations