Physics – Condensed Matter
Scientific paper
1996-07-22
Int. J. Mod. Phys. B11 (1997) 1799-1812
Physics
Condensed Matter
20 pages, Revtex, 6 figures, final version as published
Scientific paper
10.1142/S0217979297000927
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.
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