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arXiv · 1010.2918

Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction

S. Maier·T. L. Schmidt·A. Komnik
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Abstract

We analyze the nonequilibrium transport properties of a quantum dot with a harmonic degree of freedom (Holstein phonon) coupled to metallic leads, and derive its full counting statistics (FCS). Using the Lang-Firsov (polaron) transformation, we construct a diagrammatic scheme to calculate the cumulant generating function. The electron-phonon interaction is taken into account exactly, and the employed approximation represents a summation of a diagram subset with respect to the tunneling amplitude. By comparison to Monte Carlo data the formalism is shown to capture the basic properties of the strong coupling regime.

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S. Maier, T. L. Schmidt, A. Komnik. 2010-10-14. Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction. https://doi.org/10.1103/physrevb.83.085401

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