Effects of charge-dependent vibrational frequencies and anharmonicities in transport through molecules
Jens Koch, Felix von Oppen

TL;DR
This paper explores how charge-dependent vibrational frequencies and anharmonic potentials influence electronic transport in single-molecule devices, revealing complex vibrational features and negative differential conductance under certain conditions.
Contribution
It introduces a more realistic model of molecular vibrations by including charge dependence and anharmonicity, analyzing their effects on transport properties.
Findings
Vibrational steps split into multiple substeps under weak phonon relaxation.
Bias-dependent broadening of vibrational features in current-voltage characteristics.
Frequency differences can induce negative differential conductance in asymmetric molecules.
Abstract
As a step towards a more realistic modeling of vibrations in single-molecule devices, we investigate the effects of charge-dependent vibrational frequencies and anharmonic potentials on electronic transport. For weak phonon relaxation, we find that in both cases vibrational steps split into a multitude of substeps. This effectively leads to a bias-dependent broadening of vibrational features in current-voltage and conductance characteristics, which provides a fingerprint of nonequilibrium vibrations whenever other broadening mechanisms are secondary. In the case of an asymmetric molecule-lead coupling, we observe that frequency differences can also cause negative differential conductance.
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