Nonlinear Thomas-Fermi-Poisson theory of screening for a Hall bar under strong magnetic fields
Abstract
Low-temperature screening properties of the inhomogeneous two-dimensional electron gas in a Hall bar subjected to a strong perpendicular magnetic field are explored using a self-consitent approach. An external oscillating modulation potential with an amplitude of the order of the cyclotron energy is added to the electron-confining background potential, and the resulting change of the self-consistent potential is investigated as a function of modulation strength, magnetic field, and temperature. The consequences of Landau-level pinning and the interplay of compressible and incompressible regions for the resulting strongly non-linear screening phenomena are explained.
Keywords
Cite
@article{arxiv.cond-mat/0301318,
title = {Nonlinear Thomas-Fermi-Poisson theory of screening for a Hall bar under strong magnetic fields},
author = {A. Siddiki and Rolf R. Gerhardts},
journal= {arXiv preprint arXiv:cond-mat/0301318},
year = {2007}
}
Comments
8 Pages, 4 figures. Conference proceedings, Semi-Mag 15, Oxford 2002 (to be published)