Nonequilibrium inelastic electronic transport: Polarization effects and vertex corrections to the self-consistent Born approximation

L. K. Dash, H. Ness, and R. W. Godby
Phys. Rev. B 84, 085433 – Published 29 August 2011

Abstract

We study the effect of electron-vibron interactions on the inelastic transport properties of single-molecule nanojunctions. We use the nonequilibrium Green's functions technique and a model Hamiltonian to calculate the effects of second-order diagrams [double-exchange (DX) and dressed-phonon (DPH) diagrams] on the electron-vibration interaction and consider their effects across the full range of parameter space. The DX diagram, corresponding to a vertex correction, introduces an effective dynamical renormalization of the electron-vibron coupling in both the purely inelastic and the inelastic-resonant features of the inelastic electron tunneling spectrum. The purely inelastic features correspond to an applied bias around the energy of a vibron, while the inelastic-resonant features correspond to peaks (resonance) in the conductance. The DPH diagram affects only the inelastic resonant features. We also discuss the circumstances in which the second-order diagrams may be approximated in the study of more complex model systems.

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  • Received 23 May 2011

DOI:https://doi.org/10.1103/PhysRevB.84.085433

©2011 American Physical Society

Authors & Affiliations

L. K. Dash*, H. Ness, and R. W. Godby

  • Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom and European Theoretical Spectroscopy Facility (ETSF)

  • *louise.dash@york.ac.uk

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Issue

Vol. 84, Iss. 8 — 15 August 2011

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