Skip to main content

Multifractal Eigenstates in the Centre of Disorder Broadened Landau Bands

  • Conference paper
High Magnetic Fields in Semiconductor Physics III

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 101))

Abstract

The nature of the electronic states in the centre of disorder broadened Landau bands plays a key role for the explanation of the integer Quantum Hall Effect. The existence of states which are not exponentially localized is essential for an understanding of the transport properties. However, not much is known about the structure of these states [1–4].

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Aoki, Phys. Rev. B33, 7310 (1986).

    Google Scholar 

  2. B. Kramer, Y. Ono, and T. Ohtsuki, Surf. Science 196, 127 (1988).

    Article  Google Scholar 

  3. Y. Ono, T. Ohtsuki, and B. Kramer, J. Soc. Jap. 58, 1705 (1989).

    Article  Google Scholar 

  4. R. Johnston and L. Schweitzer, J. Phys.: Condens. Matter 2, 4137 (1990).

    Article  Google Scholar 

  5. Y. Ono, J. Phys. Soc. Jpn. 51, 2055 (1982).

    Article  Google Scholar 

  6. Y. Ono, J. Phys. Soc. Jpn. 51, 3544 (1982).

    Article  Google Scholar 

  7. B. Huckestein and B. Kramer, Phys. Rev. Lett. 64, 1437 (1990).

    Article  Google Scholar 

  8. H. G. E. Hentschel and I. Procaccia, Physica 8D, 435 (1983).

    Google Scholar 

  9. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. Shrainman, Phys. Rev. A33, 1141 (1986).

    Google Scholar 

  10. L. Schweitzer, B. Kramer, and A. MacKinnon, J. Phys. C17, 4111 (1984).

    Google Scholar 

  11. J. K. Cullum and R. A Willoughby, Lanczos algorithms for large symmetric eigenvalue computations, Birkhäuser(1985).

    Google Scholar 

  12. M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels, Academic Press (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Huckestein, B., Schweitzer, L. (1992). Multifractal Eigenstates in the Centre of Disorder Broadened Landau Bands. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics III. Springer Series in Solid-State Sciences, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84408-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84408-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84410-2

  • Online ISBN: 978-3-642-84408-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics