Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-11-29
Eur. J. Phys. B 56, 127 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 7 figures, submitted
Scientific paper
10.1140/epjb/e2007-00099-1
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.
Abedinpour Saeed H.
Polini Marco
Tosi Mario P.
Xianlong Gao
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