Currents in the Compressible and Incompressible Regions of the 2DEG

Details Currents in the Compressible and Incompressible Regions of the 2DEG Currents in the Compressible and Incompressible Regions of the 2DEG

1994-09-01

arxiv.org/abs/cond-mat/9409004v1

Physics

Condensed Matter

27 pages in Tex, 4 figures available by request to mgeller@monad.missouri.edu, to appear in PRB

Scientific paper

10.1103/PhysRevB.50.11714

We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length l. The analysis is based on a self-consistent one-electron description, such as the Hartree or standard Kohn-Sham equations. Our expression, which correctly describes the current distribution on scales larger than l, has two components: One is an ``edge current'' which is proportional to the local density gradient and the other is a ``bulk current'' which is proportional to the gradient of the confining potential. The direction of these currents generally displays a striking alternating pattern.

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