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Density-functional theory of inhomogeneous electron systems in thin quantum wires

Author

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  • S. H. Abedinpour
  • M. Polini
  • G. Xianlong
  • M. P. Tosi

Abstract

Motivated by current interest in strongly correlated quasi-one-dimensional (1D) Luttinger liquids subject to axial confinement, we present a novel density-functional study of few-electron systems confined by power-low external potentials inside a short portion of a thin quantum wire. The theory employs the 1D homogeneous Coulomb liquid as the reference system for a Kohn-Sham treatment and transfers the Luttinger ground-state correlations to the inhomogeneous electron system by means of a suitable local-density approximation (LDA) to the exchange-correlation energy functional. We show that such 1D-adapted LDA is appropriate for fluid-like states at weak coupling, but fails to account for the transition to a “Wigner molecules” regime of electron localization as observed in thin quantum wires at very strong coupling. A detailed analyzes is given for the two-electron problem under axial harmonic confinement. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • S. H. Abedinpour & M. Polini & G. Xianlong & M. P. Tosi, 2007. "Density-functional theory of inhomogeneous electron systems in thin quantum wires," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(2), pages 127-134, March.
    • Handle: RePEc:spr:eurphb:v:56:y:2007:i:2:p:127-134
    DOI: 10.1140/epjb/e2007-00099-1
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