Pramana

, Volume 81, Issue 3, pp 503–509 | Cite as

On the determination of the mutual exclusion statistics parameter

Article
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Abstract

Following the generalized definition of exclusion statistics to infinite-dimensional Hilbert space [Murthy and Shankar, Phys. Rev. Lett. 72, 3629 (1994)] for a single-component anyonic system, we derive a simple relation between second mixed virial coefficient and the mutual exclusion statistics parameters using high-temperature expansion method for multicomponent anyonic system. The above result is derived without working in a specific model and is valid in any spatial dimensions.

Keywords

Anyons virial coefficient high-temperature expansion 

PACS Nos

71.10.Pm 05.30.Ch 
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References

  1. [1]
    Fractional statistics and anyon superconductivity edited by F Wilczek (World Scientific, Singapore, 1989), and references thereinGoogle Scholar
  2. [2]
    Avinash Khare, Fractional statistics and quantum theory (World Scientific, Singapore, 2005)CrossRefMATHGoogle Scholar
  3. [3]
    F D M Haldane, Phys. Rev. Lett, 67, 937 (1991)MathSciNetADSCrossRefMATHGoogle Scholar
  4. [4]
    M V N Murthy and R Shankar, Phys. Rev. Lett. 72, 3629 (1994)MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    S B Isakov, Phys. Rev. Lett. 73, 2150 (1994)MathSciNetADSCrossRefMATHGoogle Scholar
  6. [6]
    Y S Wu, Phys. Rev. Lett. 52, 2103 (1984)MathSciNetADSCrossRefGoogle Scholar
  7. [7]
    Yang-Shi Wu, Phys. Rev. Lett. 73, 992 (1994)ADSGoogle Scholar
  8. [8]
    F Wilczek, Phys. Rev. Lett. 48, 1144 (1982)MathSciNetADSCrossRefGoogle Scholar
  9. [9]
    M D Johnson and G S Canright, Phys. Rev. B 41, 6870 (1990)ADSCrossRefGoogle Scholar
  10. [10]
    Yasuhiro Hatsugai, Mahito Kohomoto, Tohru Koma and Yong-Shi Wu, Phys. Rev. B 54, 5358 (1996)ADSCrossRefGoogle Scholar
  11. [11]
    R K Patheria, Statistical mechanics (Pergamon Press, Oxford, 1972)Google Scholar
  12. [12]
    S B Isakov, S Mashkevich and S Ouvry, Nucl. Phys. B 448, 457 (1995)ADSCrossRefGoogle Scholar
  13. [13]
    M D Johnson and G S Canright, Phys. Rev. B 49, 2947 (1994)ADSCrossRefGoogle Scholar
  14. [14]
    Diptiman Sen, Nucl. Phys. B 479, 554 (1996)ADSCrossRefMATHGoogle Scholar
  15. [15]
    D P Arovas, J R Schriefer, F Wilczek and A Zee, Nucl. Phys. B 251, 117 (1985)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

  1. 1.Department of Theoretical PhysicsIndian Association for the Cultivation of ScienceKolkataIndia

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