Quantum conductance of homogeneous and inhomogeneous interacting electron systems

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

Quantum conductance of homogeneous and inhomogeneous interacting electron systems

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

Physics

Research output: Working paper › Preprint

Abstract

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting conductance appear as a consequence of the functional form of the exchange-correlation kernel at small frequencies and wavevectors. The simple adiabatic local-density approximation and non-local density-terms in the kernel both give rise to significant corrections in general. In the homogeneous electron gas, the former correction remains significant, and leads to a failure of linear-response theory for densities below a critical value.

Original language	English
Publication status	Published - 2006

Bibliographical note

© 2006 The Authors. Paper from arXiv.org arXiv:cond-mat/0604317v1. For resolution of the here published results see Bokes, P., Jung, J. and Godby, R.W. (2007) Ab-initio formulation of the 4-point conductance of interacting electronic systems. Physical Review B, 76 (12). Art. No. 125433. (In this repository as http://eprints.whiterose.ac.uk/4032/)

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abstract = "We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting conductance appear as a consequence of the functional form of the exchange-correlation kernel at small frequencies and wavevectors. The simple adiabatic local-density approximation and non-local density-terms in the kernel both give rise to significant corrections in general. In the homogeneous electron gas, the former correction remains significant, and leads to a failure of linear-response theory for densities below a critical value.",

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AU - Bokes, P.

AU - Jung, J.

N1 - © 2006 The Authors. Paper from arXiv.org arXiv:cond-mat/0604317v1. For resolution of the here published results see Bokes, P., Jung, J. and Godby, R.W. (2007) Ab-initio formulation of the 4-point conductance of interacting electronic systems. Physical Review B, 76 (12). Art. No. 125433. (In this repository as http://eprints.whiterose.ac.uk/4032/)

PY - 2006

Y1 - 2006

N2 - We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting conductance appear as a consequence of the functional form of the exchange-correlation kernel at small frequencies and wavevectors. The simple adiabatic local-density approximation and non-local density-terms in the kernel both give rise to significant corrections in general. In the homogeneous electron gas, the former correction remains significant, and leads to a failure of linear-response theory for densities below a critical value.

AB - We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting conductance appear as a consequence of the functional form of the exchange-correlation kernel at small frequencies and wavevectors. The simple adiabatic local-density approximation and non-local density-terms in the kernel both give rise to significant corrections in general. In the homogeneous electron gas, the former correction remains significant, and leads to a failure of linear-response theory for densities below a critical value.

M3 - Preprint

BT - Quantum conductance of homogeneous and inhomogeneous interacting electron systems

ER -