Full counting statistics of a single-molecular quantum dot

Abstract

We investigate the full counting statistics of a single quantum dot strongly coupled to a local phonon and weakly tunnel-connected to two metallic electrodes. By employing the generalized nonequilibrium Green function method and the Lang-Firsov transformation, we derive an explicit analytical formula for the cumulant generating function, which makes one to be able to identify distinctly the elastic and inelastic contributions to the current and zero-frequency shot noise. We find that at zero temperature, the inelastic effect causes upward steps in the current and downward jumps in the noise at the bias voltages corresponding to the opening of the inelastic channels, which are ascribed to the vibration-induced complex dependences of electronic self-energies on the energy and bias voltage. More interestingly, the Fano factor exhibits oscillatory behavior with increasing bias voltage and its minimum value is observed to be smaller than one half.

12 pages, 6 figures

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• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Dressed tunneling approximation for electronic transport through molecular transistors
• Full-counting statistics of energy transport of molecular junctions in the polaronic regime
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Non-Adiabatic Effects of Nuclear Motion in Quantum Transport of Electrons: A Self-Consistent Keldysh-Langevin Study
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
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• Effects of vibrational anharmonicity on molecular electronic conduction and thermoelectric efficiency
• Quantum flicker noise in atomic and molecular junctions
• Replicas of the Fano resonances induced by phonons in a subgap Andreev tunneling
• Short time dynamics of molecular junctions after projective measurement
• Transient currents of a single molecular junction with a vibrational mode
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction
• Exact solution of electronic transport in semiconductors dominated by scattering on polaronic impurities
• Adiabatic Green's function technique and the transient behavior in time-dependent fermion-boson coupled models