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

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

2007-07-01

arxiv.org/abs/0707.0126v1

J. Phys.: Condens. Matter 20, 335233 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1088/0953-8984/20/33/335233

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.

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