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Narrow-Channel Fractional Quantum Hall States and Their Projection into One Dimension — Non-Tomonaga-Luttinger-Liquid Behavior

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Correlation Effects in Low-Dimensional Electron Systems

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

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Abstract

Two-dimensional electron system confined into a narrow channel by a parabolic potential is considered. Laughlin state is realized in the presence of a strong magnetic field even in such a confined system. Conditions for realization of the Laughlin state is clarified numerically. The present system can be considered as a one-dimensional system. Laughlin state is investigated as an asymptotically exact ground state of a model Hamiltonian. It is shown that Laughlin state is neither a Fermi liquid nor Tomonaga-Luttinger-liquid for certain choice of a parameter.

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References

  1. D. Yoshioka, J. Phys. Soc. Jpn. 62, 839 (1993).

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  2. For a review see The Quantum Hall Effect,edited by R.E. Prange and S.M. Girvin (Springer-Verlag, New York, 1990).

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  3. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).

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  4. D. Yoshioka and M. Ogata, J. Phys. Soc. Jpn. 62, 2990 (1993).

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  5. F.D.M. Haldane, in Ref.[2] Chap.8.

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  6. D.J. Thouless, Surf. Sci. 142, 147 (1984).

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  7. B. Sutherland: Phys. Rev. A4, 2019 (1971), ibid. A5, 1372 (1972).

    Google Scholar 

  8. J. Sólyom: Adv. Phy. 28, 201 (1979).

    Article  ADS  Google Scholar 

  9. N. Kawakami and S.-K. Yang: Phys. Rev. Lett. 67, 2493 (1991).

    Article  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan

    D. Yoshioka & M. Ogata

Authors
  1. D. Yoshioka
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  2. M. Ogata
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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

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© 1994 Springer-Verlag Berlin Heidelberg

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Yoshioka, D., Ogata, M. (1994). Narrow-Channel Fractional Quantum Hall States and Their Projection into One Dimension — Non-Tomonaga-Luttinger-Liquid Behavior. 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_17

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  • DOI: https://doi.org/10.1007/978-3-642-85129-2_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85131-5

  • Online ISBN: 978-3-642-85129-2

  • eBook Packages: Springer Book Archive

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