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

Abstract

We study the effect of electron-vibron interactions on the inelastic transport properties of single-molecule nanojunctions. We use the non-equilibrium 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 IETS. 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.

To be published in PRB

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Cited by in corpus (24)

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• First-principles quantum transport modeling of thermoelectricity in single-molecule nanojunctions with graphene nanoribbon electrodes
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• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Effect of nonadiabatic electronic-vibrational interactions on the transport properties of single-molecule junctions
• Signatures of electron-magnon interaction in charge and spin currents in magnetic tunnel junctions: A nonequilibrium many-body perturbation theory approach
• Full counting statistics of a single-molecular quantum dot
• Dressed tunneling approximation for electronic transport through molecular transistors
• Non-equilibrium quantum transport in fully interacting single-molecule nanojunctions
• Hypergeometric resummation of self-consistent sunset diagrams for electron-boson quantum many-body systems out of equilibrium
• Many-body Green's function theory for electron-phonon interactions: ground state properties of the Holstein dimer
• GW approximations and vertex corrections on the Keldysh time-loop contour: application for model systems at equilibrium
• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Nonequilibrium density matrix for simultaneous heat and charge steady-state transport in quantum open systems
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Nonequilibrium distribution functions for quantum transport: universality and approximation for the steady state regime
• Functionality in single-molecule devices: Model calculations and applications of the inelastic electron tunneling signal in molecular junctions
• Current-induced forces in nanosystems: A hierarchical equations of motion approach
• Non-equilibrium charge susceptibility and dynamical conductance: Identification of scattering processes in quantum transport
• Finite frequency current noise in the Holstein model
• Many-body current formula and current conservation for non-equilibrium fully interacting nanojunctions
• Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
• Non-equilibrium transport with self-consistent renormalised contacts for a single-molecule nanodevice with electron-vibron interaction
• Non-equilibrium renormalised contacts for transport in nanodevices with interaction: a quasi-particle approach