Dressed tunneling approximation for electronic transport through molecular transistors

Abstract

A theoretical approach for the non-equilibrium transport properties of nanoscale systems coupled to metallic electrodes with strong electron-phonon interactions is presented. It consists in a resummation of the dominant Feynman diagrams from the perturbative expansion in the coupling to the leads. We show that this scheme eliminates the main pathologies found in previous simple analytical approaches for the polaronic regime. The results for the spectral and transport properties are compared with those from several other approaches for a wide range of parameters. The method can be formulated in a simple way to obtain the full counting statistics. Results for the shot and thermal noise are presented.

11 pages, 11 figures. Accepted for publication in Physical Review B

References in corpus (21)

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• Real-time path integral approach to nonequilibrium many-body quantum system
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Vibrational sidebands and dissipative tunneling in molecular transistors
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• Nonequilibrium isolated molecule limit
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
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Cited by in corpus (20)

• Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
• Green's function methods for single molecule junctions
• Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Beyond Marcus theory and the Landauer-Buttiker approach in molecular junctions. II. A self-consistent Born approach
• Full-counting statistics of energy transport of molecular junctions in the polaronic regime
• 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
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Thermal rectification in a double quantum dots system with polaron effect
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Short time dynamics of molecular junctions after projective measurement
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the GD approximation
• Finite frequency current noise in the Holstein model
• Transient currents of a single molecular junction with a vibrational mode
• Local density of states on a vibrational quantum dot out of equilibrium
• Electron-phonon interaction in the dynamics of trap filling in quantum dots
• Lifting the Franck-Condon blockade in driven quantum dots
• Interference and shot noise in a degenerate Anderson-Holstein model