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

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

doi:10.1103/PhysRevB.76.125433

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

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

Physics

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	125433
Pages (from-to)	-
Number of pages	8
Journal	Physical Review B
Volume	76
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.76.125433
Publication status	Published - Sept 2007

Bibliographical note

Keywords

DENSITY-FUNCTIONAL THEORY
LANDAUER FORMULA
LINEAR-RESPONSE
TRANSPORT

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10.1103/PhysRevB.76.125433

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Cite this

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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.",

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