Skip to main content
Log in

Realization of dual, tunable, ordinary- and quantized-Hall resistances in doubly connected GaAs/AlGaAs heterostructures

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

An experimental configuration based on gated, double boundary GaAs/AlGaAs devices provides the first demonstration of dual distinct, tunable Hall resistances in the same sample over the weak- and strongmagnetic field limits, including the simultaneous observability of dual quantized Hall effects of dissimilar filling factors. These experiments suggest that the ordinary Hall resistance examined in experiment is essentially a topological resistance determined by connectivity, which need not reflect all “local” values of the off-diagonal resistivity, θ M ρ xy .

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hall, E.H.: Am. J. Math.2, 287 (1879)

    Google Scholar 

  2. von Klitzing, K., Dorda, G., Pepper, M.: Phys. Rev. Lett.45, 494 (1980)

    Google Scholar 

  3. Tsui, D.C., Störmer, H.L., Gossard, A.C.: Phys. Rev. Lett.48, 1559 (1982)

    Google Scholar 

  4. Prange, R.E., Girvin, S.M. (eds.). The quantum Hall effect. Graduate Texts in Contemprary Physics. New York, Heidelberg, Berlin: Springer 1987; Aoki, H.: Rep. Prog. Phys.50, 655 (1987)

    Google Scholar 

  5. Laughlin, R.B.: Phys. Rev.B23, 5632 (1981)

    Google Scholar 

  6. Halperin, B.: Phys. Rev. B25, 2185 (1982)

    Google Scholar 

  7. Laughlin, R.B.: Phys. Rev. Lett.50, 1395 (1983); Haldane, F.D.M.: ibid51, 605 (1983); Halperin, B.I.: ibid62, 1583 (1984)

    Google Scholar 

  8. Streda, P., Kucera, J., MacDonald, A.H.: Phys. Rev. Lett.59, 1973 (1987); Jain, J.K., Kivelson, S.A.: Phys. Rev. Lett.60, 1542 (1988); Buttiker, M.: Phys. Rev. B38, 9375 (1988)

    Google Scholar 

  9. Beenakker, C.W.J.: Phys. Rev. Lett.64, 216 (1990); MacDonald, A.H.: ibid64, 220 (1990)

    Google Scholar 

  10. Chien, C.L., Westgate C.R. (eds.). The Hall effect and its applications. New York: Plenum Press 1979; Hurd, C.M.: The Hall effect in metals and alloys. New York: Plenum Press 1972

    Google Scholar 

  11. Kane, B.E., Tsui, D.C., Weimann, G.: Phys. Rev. Lett.59, 1353 (1987); Haug, R.J., MacDonald, A.H., Streda, P., von Klitzing, K.: Phys. Rev. Lett.61, 2797 (1988); Washburn, S., Fowler, A.B., Schmid, H., Kern, D., ibid61, 2801 (1988); van Wees, B.J. et al.: ibid62, 1181 (1989); Alphennaar B.W., McEuen, P.L., Wheeler, R.G., Sacks, R.N.: ibid64, 677 (1988); McEuen, P.L., Szafer, A., Richter, C.A., Alphenaar, B.W., Jain, J.K., Stone, A.D., Wheeler, R.G., Sacks, R.N.: ibid64, 2062 (1990); Müller, G., Weiss, D., Koch, S., von Klitzing, K., Nickel, H., Schlapp, W., Lösch, R.: Phys. Rev.B42, 7633 (1990)

    Google Scholar 

  12. Chang, A.M., Cunningham, J.E.: Solid State Commun.72, 651 (1989); Kouwenhoven, L.P. van Wees, B.J., van der Vaart, N.C., Harmans, C.J.P.M., Timmering, C.E., Foxon, C.T.: Phys. Rev. Lett.64, 685 (1990); Wang, J.K., Goldman, V.J.: ibid67, 749 (1991)

    Google Scholar 

  13. Störmer, H.L., Baldwin, K.W., Pfeiffer, L.N., West, K.W.: Solid State Commun.84, 95 (1992)

    Google Scholar 

  14. One may also classify measurements where one voltage probe lies within the sample interior as being distinct from the standard Hall measurement

  15. van der Pauw, L.: Philips Res. Rep.13, 1 (1958)

    Google Scholar 

  16. According to the edge current picture for the IQHE [8], Hall plateaus at arbitraryv are impossible

    Google Scholar 

  17. Braun, E.: In: High magnetic fields in semiconductors III. Landwehr, G. (ed.), p. 165. Berlin, Heidelberg, New York: Springer 1992

    Google Scholar 

  18. Rendell, R.W., Girvin, S.M.: Phys. Rev. B23, 6610 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mani, R.G., von Klitzing, K. Realization of dual, tunable, ordinary- and quantized-Hall resistances in doubly connected GaAs/AlGaAs heterostructures. Z. Physik B - Condensed Matter 92, 335–339 (1993). https://doi.org/10.1007/BF01308751

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308751

PACS

Navigation