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Magnetoquantum Oscillations in a Lateral Superlattice

  • Dieter Weiss
Part of the NATO ASI Series book series (NSSB, volume 231)

Abstract

The low temperature magnetoresistance of a high mobility two-dimensional electron gas is dominated by Shubnikov-de Haas oscillations, reflecting the discrete nature of the electron energy spectrum. When a weak one- or two-dimensional periodic potential is superimposed on the two-dimensional electron gas a novel type of oscillations occurs which reflects the commensurability of the relevant lengths in these systems — the cyclotron orbit diameter at the Fermi energy and the period a of the periodic potential. In addition the electron mean free path l e also plays a role since the effect is observable only in mesoscopic systems where l e is significantly longer than the period a of the potential. The essential aspects of these novel commensurability oscillations are discussed here in detail, starting from the discussion of same basic magnetotransport properties in an unmodulated two-dimensional electron gas (2-DEG).

Keywords

Carrier Density Landau Level Periodic Potential Order Perturbation Theory Hall Resistance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Aizin, G. R., Volkov, V. A., Sov. Phys. JETP 60, 844 (1984) [Zh. Eksp. Teor. Fiz 87, 1469 (1984)]Google Scholar
  2. Ando, T., Uemura, Y., J. Phys. Soc. Jpn. 36, 959 (1974)CrossRefGoogle Scholar
  3. Ando, T., Fowler, A. B., Stern, F., Rev. Mod. Phys. 54, 437 (1982)ADSCrossRefGoogle Scholar
  4. Aoki, H., Rep. Prog. Phys. 50, 655 (1987)ADSCrossRefGoogle Scholar
  5. Beenakker, C. W. J., Phys. Rev. Lett. 62, 2020 (1989)ADSCrossRefGoogle Scholar
  6. Chaplik, A. V., Solid State Commun. 53, 539 (1985)ADSCrossRefGoogle Scholar
  7. Eisenstein, J. P., Störmer, H. L., Narayanamurti, V., Cho, A. Y., Gossard, A. C., Phys. Rev. Lett. 55, 1820 (1985), 539 (1985)Google Scholar
  8. Gerhardts, R. R., Z. Physik B21, 285 (1975)ADSGoogle Scholar
  9. Gerhardts, R. R., Weiss, D., von Klitzing, K., Phys. Rev. Lett. 62, 1173 (1989)ADSCrossRefGoogle Scholar
  10. Gerhardts, R. R., in “Science and Engineering of 1- and 0-Dimensional Semicondcutors”, edited by S.P. Beaumont and C.M. Sotomayor Torres (Plenum, London), Proc. NATO ARW, 29 March - 1 April 1989, Cadiz, Spain, to be publishedGoogle Scholar
  11. Gerhardts, R. R., Zhang, C., Proc. Eighth Intern. Conf. Electronic Properties of Two-Dimensinal Systems, Grenoble, France, 4-8 Sept. 1989, to be published in Surf. Sci.Google Scholar
  12. Gornik, E., Lassnig, R., Strasser, G., Störmer, H. L., Gossard, A. C., Wiegmann, W., Phys. Rev. Lett. 54, 1820 (1985)ADSCrossRefGoogle Scholar
  13. Gudmundsson, V., and Gerhardts, R. R., Phys. Rev. B35, 8005 (1987)ADSCrossRefGoogle Scholar
  14. Hofstadter, D. R., Phys. Rev. B14, 2239 (1976)ADSCrossRefGoogle Scholar
  15. Kelly, H. J., J. Phys. C. 18, 6341 (1985)ADSCrossRefGoogle Scholar
  16. Kubo, R., Miyake, S. J., Hashitsume, N., Solid State Physics 17, 239 (1965)CrossRefGoogle Scholar
  17. Landau, L. D., Lifshitz, E. M., Course of Theoretical Physics vol. 5 (Oxford: Pergamon) 1976Google Scholar
  18. Mauterndorf, 1988, Physics and Technology of Submicron Structures, Vol. 83 of Springer Series in Solid-State Sciences, ed. by H. Heinrich, G. Bauer, and F. Kuchar ( Springer, Berlin, 1988 )Google Scholar
  19. Mosser, V., Weiss, D., von Klitzing, K., Ploog, K., Weimann, G., Solid State Commun. 58, 5 (1986)ADSCrossRefGoogle Scholar
  20. Smith, T. P., Goldberg, B. B., Stiles, P. J., Heilblum, M., Phys. Rev. B32, 2696 (1985)ADSGoogle Scholar
  21. Tsubaki, T., Sakaki, H., Yoshino, J., Sekiguchi, Y., Appl. Phys. Lett. 45, 663 (1984)ADSCrossRefGoogle Scholar
  22. Weiss, D., von Klitzing, K., in “High Magnetic Fields in Semiconductors Physics”, Vol. 71 of Springer Series in Solid State Science, edited by G. Landwehr ( Springer, Berlin, 1987 ), p. 57Google Scholar
  23. Weiss, D., von Klitzing, K., Ploog, K., Weimann, G., Europhys. Lett. 8, 179 (1989); also in “The Application of High Magnetic Fields in Semiconductor Physics”, ed. G. Landwehr, Springer Series in Solid State Sciences (Berlin), to be publishedGoogle Scholar
  24. Weiss, D., Zhang, C., Gerhardts, R. R., von Klitzing, K., Weimann, G., Phys. Rev. B39, 13030 (1989)Google Scholar
  25. Weiss, D., von Klitzing, K., Ploog, K., Weimann, G., Proc. Eighth Intern. Conf. Electronic Properties of Two-Dimensional Systems, Grenoble, France 4-8 Sept. 1989, to be published in Surf. Sci.Google Scholar
  26. Winkler, R. W., Kotthaus, J. P., Ploog, K., Phys. Lett. 62, 1177 (1989)CrossRefGoogle Scholar
  27. Zhang, C., Gerhardts, R. R., submitted to Phys. Rev. BGoogle Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Dieter Weiss
    • 1
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgart 80Germany

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