Vibration-induced correction to the current through a single molecule

Abstract

We provide analytical results for the perturbative correction to the current-voltage relation through a vibrating molecule for weak electron-phonon coupling. The nonlinear conductance exhibits a step-like feature at $eV=\hslash {\omega }_0$, where ${\omega }_0$ is the vibration frequency. We establish criteria for the sign change of the step in the conductance (up or down). This transition turns out to be nonuniversal and is governed by essentially all system parameters.

4 pages, no figures, to appear in PRB, published version

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Cited by in corpus (63)

• Advances and challenges in single-molecule electron transport
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• Hierarchical Quantum Master Equation Approach to Electronic-Vibrational Coupling in Nonequilibrium Transport through Nanosystems
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• Phonon-assisted current noise in molecular junctions
• Electron-phonon interaction and full counting statistics in molecular junctions
• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
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• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• Efficient calculation of inelastic vibration signals in electron transport: Beyond the wide-band approximation
• Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions
• Current noise in molecular junctions: effects of the electron-phonon interaction
• Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport
• Anderson impurity model in nonequilibrium: analytical results versus quantum Monte Carlo data
• Crossover from adiabatic to antiadiabatic phonon-assisted tunneling in single-molecule transistors
• Non-equilibrium electronic structure of interacting single-molecule nanojunctions: vertex corrections and polarization effects for the electron-vibron coupling
• Non-equilibrium inelastic electronic transport: Polarization effects and vertex corrections to the self-consistent Born approximation
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• Vibration-induced inelastic effects in the electron transport through multisite molecular bridges
• Transient dynamics of a molecular quantum dot with a vibrational degree of freedom
• Effects of electron-phonon interaction on thermal and electrical transport through molecular nano-conductors
• Full counting statistics of a single-molecular quantum dot
• Dressed tunneling approximation for electronic transport through molecular transistors
• Superconducting non-equilibrium transport through a weakly interacting quantum dot
• Iterative path integral summation for nonequilibrium quantum transport
• Full-counting statistics of energy transport of molecular junctions in the polaronic regime
• Transport through molecular junctions with a nonequilibrium phonon population
• Transport properties of double quantum dots with electron-phonon coupling
• Nonequilibrium transport in molecular junctions with strong electron-phonon interactions
• Phonon excitation and instabilities in biased graphene nanoconstrictions
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
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