Ab initio formulation of the four-point conductance of interacting electronic systems

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Bokes, P. ; Jung, J. ; Godby, R. W. (2007)

We derive an expression for the four-point conductance of a general quantum junction in terms of the density response function. Our formulation allows us to show that the four-point conductance of an interacting electronic system possessing either a geometrical constriction and/or an opaque barrier becomes identical to the macroscopically measurable two-point conductance. Within time-dependent density-functional theory the formulation leads to a direct identification of the functional form of the exchange-correlation kernel that is important for the conductance. We demonstrate the practical implementation of our formula for a metal-vacuum-metal interface.
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    1Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom

    2Department of Physics, Faculty of Electrical Engineering and Information Technology,

    Slovak University of Technology, Ilkovicˇova 3, 812 19 Bratislava, Slovak Republic

    3Physics Division, National Center for Theoretical Sciences, P.O. Box 2-131, Hsinchu, Taiwan

    (Dated: February 1, 2008)

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    95, 146402 (2005). 6 M. Koentopp, K. Burke, and F. Evers, Phys. Rev. B 73, 121403(R)

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