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

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.

24 pages latex and 10 postscript figures in self extracting file

References in corpus (3)

• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
• Current density functional theory of quantum dots in a magnetic field

Cited by in corpus (14)

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• Collective Modes and Electronic Spectral Function in Smooth Edges of Quantum Hall Systems
• Suppression of compressible edge channels and spatial spin polarization in the integer quantum Hall regime
• Density functional theory of the phase diagram of maximum density droplets in two-dimensional quantum dots in a magnetic field
• Coulomb effects on the quantum transport of a two-dimensional electron system in periodic electric and magnetic fields
• Interaction-induced enhancement of $g$-factor in graphene
• Spin polarization and g-factor enhancement in graphene nanoribbons in magnetic field
• Magnetosubband and edge state structure in cleaved-edge overgrown quantum wires
• Relaxation and edge reconstruction in integer quantum Hall systems
• Spectral Properties and Local Density of States of Disordered Quantum Hall Systems with Rashba Spin-Orbit Coupling
• Exchange-correlation enhancement of the Lande-g* factor in integer quantized Hall plateaus
• Charge and Spin Reconstruction in Quantum Hall Strips
• Magnetoconductance of interacting electrons in quantum wires: Spin density functional theory study
• Quantum wires in magnetic field: A comparative study of the Hartree-Fock and the spin density functional approaches