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

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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• The Kondo effect in C${}_{60}$ single-molecule transistors
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• Inelastic tunneling effects on noise properties of molecular junctions
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• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
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• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• Transport through a molecular quantum dot in the polaron crossover regime

Cited by in corpus (17)

• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem
• Long transient dynamics in the Anderson-Holstein model out of equilibrium
• Förster resonance energy transfer, absorption and emission spectra in multichromophoric systems: I. Cumulant expansions
• Thermodynamics of the polaron master equation at finite bias
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Electron transport in nanoscale junctions with local anharmonic modes
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Full counting statistics of interacting quantum dots contacted by a normal metal and a superconductor
• Magnetopolaronic effects in electron transport through a single-level vibrating quantum dot
• Resonant polaron-assisted tunneling of strongly interacting electrons through a single-level vibrating quantum dot
• Charge pumping in strongly-coupled molecular quantum dots
• Local density of states on a vibrational quantum dot out of equilibrium
• P-wave Cooper pair splitting
• Lifting the Franck-Condon blockade in driven quantum dots
• Photon-phonon-assisted thermoelectric effects in the molecular devices