English

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

Strongly Correlated Electrons 2015-06-18 v1 Mesoscale and Nanoscale Physics

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.

Keywords

Cite

@article{arxiv.1401.6645,
  title  = {A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions},
  author = {Bin Li and Eli. Y. Wilner and Michael Thoss and Eran Rabani and William H. Miller},
  journal= {arXiv preprint arXiv:1401.6645},
  year   = {2015}
}

Comments

8 pages, 3 figures