Density-functional theory of quantum wires and dots in a strong magnetic field
Condensed Matter
2009-10-28 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9506035,
title = {Density-functional theory of quantum wires and dots in a strong magnetic field},
author = {T. H. Stoof and Gerrit E. W. Bauer},
journal= {arXiv preprint arXiv:cond-mat/9506035},
year = {2009}
}
Comments
24 pages latex and 10 postscript figures in self extracting file