Abstract
The experimental finding 10 years ago that the Hall resistance of two-dimensional electronic systems in strong magnetic fields is quantized has led to a large number of publications. Only a few aspects of the Quantum Hall Effect (QHE) will be discussed in more detail. First, the application of the QHE in metrology will be summarized. Then, different experimental results are presented which prove that the quantized plateaus in the Hall resistance originate from localized states in the tails of the Landau levels. Finally, the edge channel picture is used for the discussion of the QHE and it is demonstrated that real edge currents are important for the interpretation of the experimental result.
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References
K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
K. v. Klitzing, Festkörperprobleme XXI/Adv. in Solid State Physics, ed. by J. Treusch (Vieweg, Braunschweig 1981), p. 1.
T. Quinn, Metrologia 26, 69 (1989).
R. E. Prange and S.M. Girvin, (eds.) The Quantum Hall Effect (Springer, New York, Berlin, Heidelberg 1987).
K. v. Klitzing, Rev. Mod. Phys. 58, 519 (1986).
K. v. Klitzing, NATO ASI Series, Series B, Physics 170, 229 (1987).
T. Ando, A.B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect (Springer, Heidelberg 1988).
T. Ando, J. Phys. Soc. Jpn. 52, 1740 (1983).
R.E. Prange, Phys. Rev. B 23, 4802 (1981).
H. Aoki and T. Ando, Solid State Commun. 38, 1079 (1981).
J.T. Chalker, J. Phys. C 16, 4297 (1983).
W. Brenig, Z. Phys. B 50, 305 (1983).
S.A. Trugman, Phys. Rev. B 27, 7529 (1983).
A. Berg and M. Dobers, to be published.
D. Weiss and K. v. Klitzing in: High Magnetic Fields in Semiconductor Physics, ed. by G. Landwehr, (Springer Series in Solid State Sciences, Berlin 1987), Vol. 71, p. 57.
E. Gornik, R. Lassnig, G. Strasser, H.L. Störmer, A.C. Gossard, and W. Wiegmann, Phys. Rev. Lett. 54, 1820 (1985).
J.P. Eisenstein, H.L. Störmer, V. Narayanamurti, A.Y. Cho, and A.C. Gossard Phys. Rev. Lett. 55, 875 (1985).
V. Gudmundsson and R.R. Gerhardts in: Magnetic Fields in Semiconductor Physics, ed. by G. Landwehr, (Springer Series in Solid State Sciences, Berlin 1987), Vol. 71, p. 67, Vol. 87, p. 14.
V. Gudmundsson, and R.R. Gerhardts, Phys. Rev. B 35, 8005 (1987).
H.P. Wei, D.C. Tsui, M.A. Paalanen, and A.M.M. Pruisken, Phys. Rev. Lett. 61, 1294 (1988).
A.M.M. Pruisken, Phys. Rev. Lett. 61, 1297 (1988).
S. Koch, to be published.
F. Delahaye, Metrologia 26, 63 (1989).
R.B. Laughlin, in: Two-Dimensional Systems, Heterostructures, and Superlattices, ed. by G. Bauer, F. Kuchar, and H. Heinrich, (Springer Series in Solid State Sciences, Berlin/New York 1984), Vol. 53, p. 272.
B.J. van Wees, H. van Houten, C.W.J. Beenakker, J.G. Williamson, L.P. Kouwenhoven, D. van der Marel, and C.T. Foxon, Phys. Rev. Lett. 60, 848 (1988).
D.A. Wharam, T.J. Thornton, R. Newbury, M. Pepper, H. Admed, J.E.F. Frost, D.G. Hasko, D.C. Peacock, D.A. Ritchie, and G.A.C. Jones, J. Phys. C 21, L 209 (1988).
R. Landauer, Philos. Mag. 21, 863 (1970).
D. Weiss, G. Müller, and S. Koch, to be published.
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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
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von Klitzing, K. (1990). Ten years quantum hall effect. In: Rössler, U. (eds) Festkörperprobleme 30. Advances in Solid State Physics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108280
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DOI: https://doi.org/10.1007/BFb0108280
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