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    Incompleteness of the Landauer formula for electronic transport

    Vignale, Giovanni, 1957-
    Di Ventra, Massimiliano
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    [PDF] IncompletenessLandauerFormulaElectronic.pdf (306.1Kb)
    Date
    2009-01
    Format
    Article
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    Abstract
    We show that the Landauer formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission probabilities. We show that the physical origin of these effects is related to the viscous nature of the electron liquid and we develop a perturbative formalism, based on the time-dependent current-density-functional theory, for calculating the corrections to the resistance in terms of the “Kohn-Sham current distribution” and the exchange-correlation kernel. The difficulties that still remain in calculating the latter are critically discussed.
    URI
    http://hdl.handle.net/10355/7676
    Part of
    Physics and Astronomy publications (MU)
    Citation
    Phys. Rev. B 79, 014201 (2009) [10 pages]
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    • Physics and Astronomy publications (MU)

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