Skip to main content

Effect of Nondissipative Edge Currents on the Magnetoresistance of a Two-Dimensional Electron Gas at High Magnetic Fields

  • Conference paper
Book cover High Magnetic Fields in Semiconductor Physics III

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

  • 332 Accesses

Abstract

It is experimentally shown that the magnetoresistance Rxx (v) at noninteger filling factors v in Si MOSFETs and GaAs/AlGaAs heterostructures with large aspect ratio is equal to the difference of the Hall resistances: δRxy =h/e2 v 1 −Rxy (v), where v 1 is an integer corresponding to the nearest well developed quantum Hall state. Our model of nondissipative current flow near the sample edges, which dominates at low temperature and low currents, explains our results and predicts the Hall resistance difference to be an upper limit for Rxx independent of the sample size.

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. K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 44, 479 (1980).

    Article  Google Scholar 

  2. K. von Klitzing, G. Ebert, N. Kleinmichel, H. Obloh, G. Dorda, and G. Weimann, Proc. of 17th Int. Conf. Physics of Semiconductors, San Francisco (1984), Ed. J.D. Chadi, W.A. Harrison, Springer Verlag, New York, p. 271.

    Google Scholar 

  3. B.E. Kane, D.C. Tsui, and G. Weimann, Phys. Rev. Lett. 59, 1353 (1987).

    Article  CAS  Google Scholar 

  4. R.J. Haug and K. von Klitzing, Europhys. Lett. 10, 489 (1989).

    Article  CAS  Google Scholar 

  5. M. Büttiker, Phys. Rev. B 38, 9375 (1988).

    Google Scholar 

  6. P.L. McEuen, A. Szafer, CA. Richter, B.W. Alphenaar, J.K. Jain, A.D. Stone, R.G. Wheeler, and R.N. Sacks, Phys. Rev. Lett. 64, 2062 (1990).

    Article  Google Scholar 

  7. D.A. Syphers, and P.J. Stiles, Phys. Rev. B 32, 6620 (1985).

    Google Scholar 

  8. G. Ebert, K. von Klitzing, and G. Weimann, J. Phys. C 18, L257 (1985).

    Article  CAS  Google Scholar 

  9. H.Z. Zheng, D.C. Tsui, and Albert M. Chang, Phys. Rev. B 32, 5506 (1985).

    Google Scholar 

  10. B.J. van Wees, E.M.H. Willems, L.P. Kouwenhoven, C.J.P.M. Harmans, J.G. Williamson, C.T. Foxon, and J.J. Harris, Phys. Rev. B 39, 8066 (1989).

    Google Scholar 

  11. T. Ando, A.B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).

    Article  CAS  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

Dorozhkin, S.I., Koch, S., von Klitzing, K., Dorda, G. (1992). Effect of Nondissipative Edge Currents on the Magnetoresistance of a Two-Dimensional Electron Gas at High Magnetic Fields. 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_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84408-9_18

  • 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