Nonlinear effects of phonon fluctuations on transport through nanoscale junctions

Abstract

We analyze the effect of electron-phonon coupling on the full counting statistics of a molecular junction beyond the lowest order perturbation theory. Our approach allows to take into account analytically the feedback between the non-equilibrium phonon and electronic distributions in the quantum regime. We show that even for junctions with high transmission and relatively weak electron-phonon coupling this feedback gives rise to increasingly higher nonlinearities in the voltage dependence of the cumulants of the transmitted charges distribution.

4 pages, 3 figures

References in corpus (23)

• Electron Counting Statistics and Coherent States of Electric Current
• Measurement of the conductance of a hydrogen molecule
• Phonon effects in molecular transistors: Quantum and classical treatment
• Inelastic transport theory from first-principles: methodology and applications for nanoscale devices
• Inelastic electron tunneling spectroscopy in molecular junctions: Peaks and dips
• Onset of dissipation in ballistic atomic wires
• Inelastic scattering and local heating in atomic gold wires
• Unified description of inelastic propensity rules for electron transport through nanoscale junctions
• Electron-vibration interaction in transport through atomic gold wires
• Electron-vibration interaction in single-molecule junctions: from contact to tunneling regime
• Theory of Current and Shot Noise Spectroscopy in Single-Molecular Quantum Dots with Phonon Mode
• Towards full counting statistics for the Anderson impurity model
• Current-induced nonequilibrium vibrations in single-molecule devices
• Universal features of electron-phonon interactions in atomic wires
• Inelastic tunneling effects on noise properties of molecular junctions
• Phonon-assisted current noise in molecular junctions
• Electron-phonon interaction and full counting statistics in molecular junctions
• Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
• Vibration-induced correction to the current through a single molecule
• Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
• Non-equilibrium electronic structure of interacting single-molecule nanojunctions: vertex corrections and polarization effects for the electron-vibron coupling
• Transport through molecular junctions with a nonequilibrium phonon population
• Breakdown of Migdal--Eliashberg theory via catastrophic vertex divergence at low phonon frequency

Cited by in corpus (43)

• Advances and challenges in single-molecule electron transport
• Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
• Mesoscopic admittance of a double quantum dot
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Green's function methods for single molecule junctions
• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Current noise in molecular junctions: effects of the electron-phonon interaction
• Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
• Counting statistics of heat transport in harmonic junctions -- transient and steady states
• Nonequilibrium phonon backaction on the current noise in atomic-sized junctions
• Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
• Vibrationally Induced Decoherence in Single-Molecule Junctions
• Current Noise in Single-Molecule Junctions Induced by Electronic-Vibrational Coupling
• Charge-carrier-induced frequency renormalization, damping and heating of vibrational modes in nanoscale junctions
• Inelastic shot noise characteristics of nanoscale junctions from first principles
• Enhanced noise at high bias in atomic-scale Au break junctions
• Signatures of electron-magnon interaction in charge and spin currents in magnetic tunnel junctions: A nonequilibrium many-body perturbation theory approach
• Majorana zero modes choose Euler numbers - revealed by full counting statistics
• Full counting statistics of a single-molecular quantum dot
• Dressed tunneling approximation for electronic transport through molecular transistors
• Full-counting statistics of transient energy current in mesoscopic systems
• Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity
• 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
• Transient behavior of full counting statistics in thermal transport
• Thermodynamics of the polaron master equation at finite bias
• Unified description of charge transfer mechanisms and vibronic dynamics in nanoscale junctions
• Reconciling perturbative approaches in phonon assisted transport junctions
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Kondo effect and spin-active scattering in ferromagnet-superconductor junctions
• Finite frequency current noise in the Holstein model
• Effects of coupling to vibrational modes on the ac conductance of molecular junctions
• Build-up of Vibron-Mediated Electron Correlations in Molecular Junctions
• Current noise enhancement: channel mixing and possible nonequilibrium phonon backaction in atomic-scale Au junctions
• Inelastic Current Noise in Nanoscale Systems: Scattering Theory Analysis
• Full counting statistics of information content
• P-wave Cooper pair splitting
• Full counting statistics of information content and particle number
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction
• Generic model for Cooper pair splitting
• Evolution of shot noise in suspended lithographic gold break junctions with bias and temperature
• Influence of electron-vibration interactions on electronic current noise of atomic and molecular junctions
• Full-counting statistics of information content and heat quantity in the steady state and the optimum capacity