Hall voltage and current distributions in an ideal two-dimensional system
- 15 September 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 28 (6), 3648-3650
- https://doi.org/10.1103/physrevb.28.3648
Abstract
The redistribution of charge, which generates the Hall voltage, cannot occur only at the edges in a two-dimensional system but must occur in the bulk. Using a Hartree approximation we derive a self-consistent equation which describes the charge, current, and Hall voltage distributions in a two-dimensional electron gas with filled Landau levels. These distributions are weighted toward the sample edges with a decay length into the bulk which depends on sample size and magnetic field strength.Keywords
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