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

T. H. Stoof·Gerrit E. W. Bauer
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Abstract

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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T. H. Stoof, Gerrit E. W. Bauer. 1995-06-08. Density-functional theory of quantum wires and dots in a strong magnetic field. https://doi.org/10.1103/physrevb.52.12143

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