The role of edge currents in quantised Hall effect
- 20 January 1984
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 17 (2) , L63-L68
- https://doi.org/10.1088/0022-3719/17/2/006
Abstract
The space distribution of the Hall current in the two-dimensional system is investigated using the one-electron form of the Kubo linear response theory. The calculation confirms that the quantised Hall current is localised only at edges of the sample when the Fermi energy lies in a gap between Landau levels of the bulk material. Unlike the bulk levels, the edge states are never separated from the Fermi energy by a gap. Therefore, the edge electrons can always respond to the applied external field.Keywords
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