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

P. Bokes, J. Jung, and R. W. Godby
Phys. Rev. B 76, 125433 – Published 28 September 2007

Abstract

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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  • Received 10 May 2007

DOI:https://doi.org/10.1103/PhysRevB.76.125433

©2007 American Physical Society

Authors & Affiliations

P. Bokes1,2,*, J. Jung3,1, and R. W. Godby1

  • 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, Ilkovičova 3, 812 19 Bratislava, Slovak Republic
  • 3Physics Division, National Center for Theoretical Sciences, P.O. Box 2-131, Hsinchu, Taiwan

  • *peter.bokes@stuba.sk

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Vol. 76, Iss. 12 — 15 September 2007

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