Correlations, inhomogeneous screening, and suppression of spin splitting in quantum wires at strong magnetic fields

O. G. Balev and P. Vasilopoulos
Phys. Rev. B 56, 6748 – Published 15 September 1997
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Abstract

A self-consistent treatment of exchange and correlations in a quantum wire (QW) subject to a strong perpendicular magnetic field is presented using a modified local-density approximation. The influence of many-body interactions on the spin splitting between the two lowest Landau levels (LL’s) is calculated within the screened Hartree-Fock approximation, for filling factor ν=1, and the strong spatial dependence of the screening properties of electrons is taken into account. In comparison with the Hartree-Fock result, the spatial behavior of the occupied LL in a QW is strongly modified when correlations are included. Correlations caused by screening at the edges strongly suppress the exchange splitting and smoothen the energy dispersion at the edges. The theory accounts well for the experimentally observed strong suppression of the spin splitting pertinent to the ν=1 quantum Hall effect state as well as the destruction of this state in long, quasiballistic GaxAl1xAs/GaAs QW’s.

  • Received 26 September 1996

DOI:https://doi.org/10.1103/PhysRevB.56.6748

©1997 American Physical Society

Authors & Affiliations

O. G. Balev

  • Institute of Physics of Semiconductors, National Academy of Sciences, 45 Pr. Nauky, Kiev 252650, Ukraine

P. Vasilopoulos

  • Department of Physics, Concordia University, 1455 de Maisonneuve Blvd O, Montréal, Québec H3G 1M8, Canada

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Vol. 56, Iss. 11 — 15 September 1997

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