Chern-Simons Ginzburg-Landau Theory of the Fractional Quantum Hall System with Edges

  • N. Nagaosa
  • M. Kohmoto
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 118)


The superfluidity analogy of the fractional quantum Hall effect via the Chern-Simons Ginzburg-Landau (CSGL) theory is extended to the system with edges. The advantage of this method is, in addition to its simplicity without employing any advanced ideas, that the bulk and edge properties can be discussed in a unified fashion. The electromagnetic response of the system is discussed by deriving the effective action for the external vector potential A μ . The Green’s function of the physical electron is also studied, and the results by Wen is rederived.


Quantum Hall Effect Fractional Quantum Electromagnetic Response Fractional Quantum Hall Effect Edge Property 
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  1. [1]
    For a review see S.C.Zhang, Int. J. Mod. Phys. B6, 25 (1992).CrossRefADSGoogle Scholar
  2. [2]
    B.I.Halperin, Phys. Rev. B 25, 2185 (1982).Google Scholar
  3. [3]
    D.J.Thouless, in “The Quantum Hall Effect”, ed. R.E.Prange and S.M.Girvin (Springer-Verlag, New York, 1987) Chap.4.Google Scholar
  4. [4]
    M.Buttiker, Phys. Rev. Lett. 57, 57 (1986).CrossRefGoogle Scholar
  5. [5]
    X.G.Wen, Phys. Rev. B 41, 12838 (1990).CrossRefADSGoogle Scholar
  6. [6]
    X.G.Wen, Phys. Rev. B 43, 11025 (1991).CrossRefADSGoogle Scholar
  7. [7]
    G.Semenoff, Phys. Rev. Lett. 61, 517 (1988).CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • N. Nagaosa
    • 1
  • M. Kohmoto
    • 2
  1. 1.Department of Applied PhysicsUniversity of TokyoTokyo 113Japan
  2. 2.Institute for Solid State PhysicsUniversity of TokyoTokyo 106Japan

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