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arXiv · 1401.6645

A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions

Bin Li·Eli. Y. Wilner·Michael Thoss·Eran Rabani·William H. Miller
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Abstract

We develop a classical mapping approach suitable to describe vibrationally coupled charge transport in molecular junctions based on the Cartesian mapping for many-electron systems [J. Chem. Phys. 137, 154107 (2012)]. To properly describe vibrational quantum effects in the transport characteristics, we introduce a simple transformation rewriting the Hamiltonian in terms of occupation numbers and use a binning function to facilitate quantization. The approach provides accurate results for the nonequilibrium Holstein model for a range of bias voltages, vibrational frequencies and temperatures. It also captures the hallmarks of vibrational quantum effects apparent in step-like structure in the current-voltage characteristics at low temperatures as well as the phenomenon of Franck-Condon blockade.

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Bin Li, Eli. Y. Wilner, Michael Thoss, Eran Rabani, William H. Miller. 2014-01-26. A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions. https://doi.org/10.1063/1.4867789

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