231 research outputs found
Current distributions and the de Haas-van Alphen oscillation in a planar system of Hall electrons
The current distribution is studied for a finite-width two-dimensional system
of Hall electrons, with a clear distinction drawn between the equilibrium edge
current and the Hall current. It is pointed out that both the distribution and
direction of the equilibrium edge current change dramatically as the number of
electron edge states increases, and that this alternating edge current is
another manifestation of the de Haas-van Alphen effect. The Hall-current
distribution is substantially different from the edge current distribution, and
it is shown numerically that the fast-traveling electrons along the sample edge
are not the main carriers of the Hall current.Comment: 20 pages, Revtex, 6 figures, final version as publishe
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