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

P. Bokes, J. Jung, R. W. Godby

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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.

Original languageEnglish
Article number125433
Pages (from-to)-
Number of pages8
JournalPhysical Review B
Volume76
Issue number12
DOIs
Publication statusPublished - Sept 2007

Bibliographical note

© 2007 American Physical Society. This is an author produced version of a paper published in Physical Review B. Uploaded in accordance with the publisher's self archiving policy.

Keywords

  • DENSITY-FUNCTIONAL THEORY
  • LANDAUER FORMULA
  • LINEAR-RESPONSE
  • TRANSPORT

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