Quantum wires in magnetic field: A comparative study of the Hartree-Fock and the spin density functional approaches

Abstract

We present a detailed comparison of the self-consistent calculations based on the Hartree-Fock and the spin density functional theory for a spit-gate quantum wire in the IQH regime. We demonstrate that both approaches provide qualitatively (and in most cases quantitatively) similar results for the spin-resolved electron density, spin polarization, spatial spin separation at the edges and the effective $g$ factor. The both approach give the same values of the magnetic fields corresponding to the successive subband depopulation and qualitatively similar evolution of the magnetosubbands. Quantitatively, however, the HF and the DFT subbands are different (even though the corresponding total electron densities are practically the same). In contrast to the HF approach, the DFT calculations predict much larger spatial spin separation near the wire edge for the low magnetic fields (when the compressible strips for spinless electrons are not formed yet). In the opposite limit of the large fields, the Hatree-Fock and the DFT approaches give very similar values for the spatial spin separation.

arXiv comment5 pages, 3 figures

References in corpus (9)

• Tunable Negative Differential Resistance controlled by Spin Blockade in Single Electron Transistors
• Ensemble density functional theory of the fractional quantum Hall effect
• Spin polarization of edge states and magnetosubband structure in quantum wires
• Suppression of compressible edge channels and spatial spin polarization in the integer quantum Hall regime
• Density-functional theory of quantum wires and dots in a strong magnetic field
• Correlations, inhomogeneous screening, and suppression of spin-splitting in quantum wires at strong magnetic fields
• Magnetosubband and edge state structure in cleaved-edge overgrown quantum wires
• Hartree-Fock Interactions in the Integer Quantum Hall Effect
• Many-body interactions in a quantum wire in the integer quantum Hall regime: suppression of exchange-enhanced g factor

Cited by in corpus (4)

• Landau levels, edge states and magneto-conductance in GaAs/AlGaAs core-shell nanowires
• Transconductance and effective Landé factors for quantum point contacts: spin-orbit coupling and interaction effects
• Magnetoconductance of interacting electrons in quantum wires: Spin density functional theory study
• First-principles study of electron transport in few-electron open quantum dots by the Hartree-Fock approach