Abstract
A new model is proposed to explain important experimental results on the Quantum Hall effect. The existence of plateaus in the Hall resistance and broad minima in the magnetoresistance can be explained without explicit reference to localized electron states. The main assumption is a moderate inhomogeneity in the electron density across the width of the sample. Earlier experiments on the distribution of the Hall voltage across the sample can be explained when a gradient in the electron density is assumed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Klitzing K. von, Dorda G. and Pepper M., Phys.Rev.Lett. 45 (1980) 494
Laughlin R. B., Phys.Rev.B. 23 (1981) 5632
Hajdu J., Proceedings of the summerschool on “The physics of the twodimensional electron gas” held 2-14 June 1986 in Antwerpen
Ando T., Surface Science 113 (1982) 182
Störmer H.L., FestkSrperprobleme XXIV (1984) 25
Joynt R. and Prange R.E., Phys.Rev.B. 29 (1984) 3303
Iordansky S.V., Solid State Comm. 43 (1982) 1
Kazarinov R.F. and Luryi S., Phys.Rev.B. 25 (1982) 7626
Joynt R., Festkörperprobleme XXV (1985) 413
Meisels R., Lim K.Y., Kuchar F., Weimann G, and Schlapp W., in Two-dimensional systems: Physics and devices, Springer Ser.Solid-State Sci., Vol 67 (Springer, Berlin, Heidelberg 1985)
Woltjer R.,Mooren J. and Wolter J. Solid state comm. 53 (1985) 331
Simon Ch., Goldberg B.B., Fang F.F., Thomas M.K. and Wright S., Phys.Rev.B. 33 (1986) 1190
Woltjer R., Eppenga R., Mooren J., Timmering C.E. and André J.P., to be published in Europhysics Letters
Zheng H.Z., Tsui D.C. and Chang A.M., Phys.Rev.B. 32 (1985) 5506
Lippmann H.J. and Kuhrt F. Zeitschrift Für Naturforschung 13A (1958) 474
Ebert G., Klitzing K.von and Weimann G., J.Phys.C. 18 (1985) L257
Laughlin R.B., Phys.Rev.B. 27 (1983) 3383
Gerhardts R.R. and Gudmundsson V., to be published
Tausendfreund B. and Klitzing K.von, Surface Science 142 (1984) 220
Pudalov V.M., and Semenchinskii, JETP Lett. 42 (1985) 232
Bliek L., Braun E., Hein G., Kose V., Niemeyer J., Weimann G. and Schlapp W., to be published
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Woltjer, R., Eppenga, R., Schuurmans, M.F.H. (1987). A New Approach to the Quantum Hall Effect. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics. Springer Series in Solid-State Sciences, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83114-0_16
Download citation
DOI: https://doi.org/10.1007/978-3-642-83114-0_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83116-4
Online ISBN: 978-3-642-83114-0
eBook Packages: Springer Book Archive