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Asymptotic self-consistency in quantum transport calculations

2005/01/27 by H. Mera, P. Bokes, Peter Bokes +2 · 2 citations
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.72.085311

published as Phys. Rev. B 72, 085311 (2005). · 6 pages, 4 figures, submitted to Phys. Rev. B

arxiv created 2005/01/27 · openalex publication_date 2005/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Ab initio simulations of quantum transport commonly focus on a central region which is considered to be connected to infinite leads through which the current flows. The electronic structure of these distant leads is normally obtained from an equilibrium calculation, ignoring the self-consistent response of the leads to the current. We examine the consequences of this, and show that the electrostatic potential \ensuremathΔ\ensuremathφ is effectively being approximated by the difference between electrochemical potentials \ensuremathΔ\ensuremathμ, and that this approximation is incompatible with asymptotic charge neutrality. In a test calculation for a simple metal-vacuum-metal junction, we find significant errors in the nonequilibrium properties calculated with this approximation, in the limit of small vacuum gaps. We provide a scheme by which these errors may be corrected.

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