Transport through molecular junctions with a nonequilibrium phonon population

Abstract

The calculation of the nonlinear conductance of a single-molecule junction is revisited. The self energy on the junction resulting from the electron-phonon interaction has at low temperatures logarithmic singularities (in the real part) and discontinuities (in the imaginary one) at the frequencies corresponding to the opening of the inelastic channels. These singularities generate discontinuities and logarithmic divergences (as a function of the bias voltage) in the low-temperature differential conductance around the inelastic thresholds. The self energy also depends on the population of the vibrational modes. The case of a vibrating free junction (not coupled to a thermal bath), where the phonon population is determined by the bias voltage is examined. We compare the resulting zero-temperature differential conductance with the one obtained for equilibrated phonons, and find that the difference is larger the larger is the bare transmission of the junction and the product of the electron dwell time on the junction with the phonon frequency.

4 pages

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• A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions
• Phonon Spectroscopy by Electric Measurements of Coupled Quantum Dots
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
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• Thermally induced charge current through long molecules
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction
• Nonlinear thermoelectric transport in single-molecule junctions: the effect of electron-phonon interactions