AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime

Abstract

The coupling of the charge carriers passing through a molecule bridging two bulky conductors with local vibrational modes of the molecule, gives rise to distinct features in the electronic transport properties on one hand, and to nonequilibrium features in the vibrations' properties, e.g., their population, on the other. Here we explore theoretically a generic model for a molecular junction biased by an arbitrary dc voltage in the weak-coupling regime. We analyze the signature of the electron-vibration interaction on the full-counting statistics of the current fluctuations (i.e., the cumulant generating-function of the current correlations), we give a detailed account of the response to an ac field exerted on the junction (on top of the dc bias voltage), we study the nonequilibrium distribution of the vibrational modes and the fluctuations they cause in the displacement of the molecule center of mass. The calculations use the technique of nonequilibrium Green's functions, and treat the electron-vibration coupling in perturbation theory, within the random-phase approximation when required.

References in corpus (65)

• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• A tunable carbon nanotube electromechanical oscillator
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Measurement of the conductance of a hydrogen molecule
• Molecular Transport Junctions: Vibrational Effects
• Phonon effects in molecular transistors: Quantum and classical treatment
• Real-time path integral approach to nonequilibrium many-body quantum system
• Highly conductive molecular junctions based on direct binding of benzene to platinum electrodes
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Simultaneous measurements of electronic conduction and Raman response in molecular junctions
• Onset of dissipation in ballistic atomic wires
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Vibrational and electronic heating in nanoscale junctions
• Quantum master equation for electron transport through quantum dots and single molecules
• Experimental Evidence for Quantum Interference and Vibrationally Induced Decoherence in Single-Molecule Junctions
• Resonant inelastic tunneling in molecular junctions
• Fluctuation theorem for currents in open quantum systems
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• Three-terminal thermoelectric transport through a molecular junction
• Electron-vibration interaction in single-molecule junctions: from contact to tunneling regime
• Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
• Current-induced nonequilibrium vibrations in single-molecule devices
• Current-induced atomic dynamics, instabilities, and Raman signals: Quasi-classical Langevin equation approach
• Bidirectional Single-Electron Counting and the Fluctuation Theorem
• Trajectory phase transitions, Lee-Yang zeros, and high-order cumulants in full counting statistics
• Phonon-assisted current noise in molecular junctions
• Electron-phonon interaction and full counting statistics in molecular junctions
• Three-terminal thermoelectric transport through a molecule placed on an Aharonov-Bohm ring
• Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis
• Vibration-induced correction to the current through a single molecule
• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
• Frequency-dependent counting statistics in interacting nanoscale conductors
• Quantum transport through a deformable molecular transistor
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• On the perturbative expansion of the magnetization in the out-of-equilibrium Kondo model
• Current noise in molecular junctions: effects of the electron-phonon interaction
• Fluctuation Theorem in a Quantum-Dot Aharonov-Bohm Interferometer
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Sub-Ohmic to super-Ohmic crossover behavior in nonequilibrium quantum systems with electron-phonon interactions
• Allowed charge transfers between coherent conductors driven by a time-dependent scatterer
• Nonequilibrium phonon backaction on the current noise in atomic-sized junctions
• Interplay of bias-driven charging and the vibrational Stark effect in molecular junctions
• Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem
• Atomistic Simulations of Highly Conductive Molecular Transport Junctions Under Realistic Conditions
• Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
• Factorization of quantum charge transport for non-interacting fermions
• Charge-carrier-induced frequency renormalization, damping and heating of vibrational modes in nanoscale junctions
• Transient fluctuation relations for time-dependent particle transport
• Vibration-induced inelastic effects in the electron transport through multisite molecular bridges
• Fluctuation Relations for Spintronics
• Dressed tunneling approximation for electronic transport through molecular transistors
• Interpolative approach for electron-electron and electron-phonon interactions: from the Kondo to the polaronic regime
• Energy-dependent resonance broadening in symmetric and asymmetric molecular junctions from an ab initio non-equilibrium Green's function approach
• Effect of broadening in the weak coupling limit of vibrationally coupled electron transport through molecular junctions and the analogy to quantum dot circuit QED systems
• Transport through molecular junctions with a nonequilibrium phonon population
• A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions
• Vibrationally dependent electron-electron interactions in resonant electron transport through single-molecule junctions
• Fluctuation relations and rare realizations of transport observables
• Effects of coupling to vibrational modes on the ac conductance of molecular junctions
• AC-Conductance through an Interacting Quantum Dot
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction

Cited by in corpus (9)

• Advances and challenges in single-molecule electron transport
• Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction
• Counting quantum jumps: a summary and comparison of fixed-time and fluctuating-time statistics in electron transport
• Timescale separation solution of Kadanoff-Baym equations for quantum transport in time-dependent fields
• Full counting statistics for electron transport in periodically driven quantum dots
• Fluctuating-time and full counting statistics for quantum transport in a system with internal telegraphic noise
• Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the GD approximation
• Antiresonant quantum transport in ac driven molecular nanojunctions
• Out-of-equilibrium fluctuation-dissipation relations verified by the electrical and thermoelectrical ac-conductances in a quantum dot