Skip to main content
SpringerLink
Log in
Book cover

Correlation Effects in Low-Dimensional Electron Systems pp 168–174Cite as

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

  • Conference paper

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 118))

Abstract

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.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For a review see S.C.Zhang, Int. J. Mod. Phys. B6, 25 (1992).

    Article  ADS  Google Scholar 

  2. B.I.Halperin, Phys. Rev. B 25, 2185 (1982).

    Google Scholar 

  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. M.Buttiker, Phys. Rev. Lett. 57, 57 (1986).

    Article  Google Scholar 

  5. X.G.Wen, Phys. Rev. B 41, 12838 (1990).

    Article  ADS  Google Scholar 

  6. X.G.Wen, Phys. Rev. B 43, 11025 (1991).

    Article  ADS  Google Scholar 

  7. G.Semenoff, Phys. Rev. Lett. 61, 517 (1988).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Physics, University of Tokyo, Tokyo 113, Japan

    N. Nagaosa

  2. Institute for Solid State Physics, University of Tokyo, Tokyo 106, Japan

    M. Kohmoto

Authors
  1. N. Nagaosa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Kohmoto
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Applied Physics, Osaka University, Suita, Osaka 565, Japan

    Ayao Okiji

  2. Yukawa Institute for Theoretical Physics, Kyoto University, Sakyo-ku, Kyoto 606, Japan

    Norio Kawakami

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nagaosa, N., Kohmoto, M. (1994). Chern-Simons Ginzburg-Landau Theory of the Fractional Quantum Hall System with Edges. In: Okiji, A., Kawakami, N. (eds) Correlation Effects in Low-Dimensional Electron Systems. Springer Series in Solid-State Sciences, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85129-2_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-85129-2_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85131-5

  • Online ISBN: 978-3-642-85129-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation