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

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dc.creatorAbedinpour, S. H.
dc.creatorPolini, M.
dc.creatorXianlong, Gao
dc.creatorTosi, M. P.
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:56:26Z
dc.date.available2026-07-07T07:56:26Z
dc.descriptionMotivated 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.
dc.description8 pages, 7 figures, submitted
dc.identifierhttps://arxiv.org/abs/cond-mat/0611737
dc.identifierhttp://arxiv.org/abs/cond-mat/0611737
dc.identifierEur. J. Phys. B 56, 127 (2007)
dc.identifierdoi:10.1140/epjb/e2007-00099-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127308
dc.subjectStrongly Correlated Electrons
dc.titleDensity-functional theory of inhomogeneous electron systems in thin quantum wires
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