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Quantum Hall effect in restricted geometries
Authors:P Vasilopoulos
Abstract:The confinement of electrons in narrow quasi-two-dimensional conducting channels, modelled with a parabolic well, leads to asymmetric Hall plateaus about complete Landau-level fillings and to saw-toothed oscillations of the dc resistivity xx as a function of the magnetic field B. The peaks in xx are displaced to lower B and drastically reduced from their wide-channel values. The peak values of xx increase with increasing channel width. The corrections to σyx for finite channel widths and the response to oscillating electric fields are evaluated.
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