Density-functional theory of quantum wires and dots in a strong magnetic field

Details Density-functional theory of quantum wires and dots in a strong magnetic field Density-functional theory of quantum wires and dots in a strong magnetic field

1995-06-08

arxiv.org/abs/cond-mat/9506035v1

Physics

Condensed Matter

24 pages latex and 10 postscript figures in self extracting file

Scientific paper

10.1103/PhysRevB.52.12143

We study the competition between the exchange and the direct Coulomb interaction near the edge of a two-dimensional electron gas in a strong magnetic field using density-functional theory in a local approximation for the exchange-energy functional. Exchange is shown to play a significant role in reducing the spatial extent of the compressible edge channel regions obtained from an electrostatic description. The transition from the incompressible edge channels of the Hartree-Fock picture to the broad, compressible strips predicted by electrostatics occurs within a narrow and experimentally accessible range of confinement strengths.

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