Electron-phonon interaction and full counting statistics in molecular junctions

Abstract

The full counting statistics of a molecular level weakly interacting with a local phonon mode is derived. We find an analytic formula that gives the behavior of arbitrary irreducible moments of the distribution upon phonon excitation. The underlying competition between quasi-elastic and inelastic processes results in the formation of domains in parameter space characterized by a given sign in the jump of the irreducible moments. In the limit of perfect transmission, the corresponding distribution is distorted from Gaussian statistics for electrons to Poissonian transfer of holes above the inelastic threshold.

Improved version with additional references and material (EPAPS). Published in Phys. Rev. B

References in corpus (20)

• Shot Noise in Mesoscopic Conductors
• Quantum properties of atomic-sized conductors
• Electron Counting Statistics and Coherent States of Electric Current
• Inelastic scattering and local heating in atomic gold wires
• Tuning the Kondo effect with a mechanically controllable break junction
• Unified description of inelastic propensity rules for electron transport through nanoscale junctions
• Electron-vibration interaction in single-molecule junctions: from contact to tunneling regime
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Theory of Current and Shot Noise Spectroscopy in Single-Molecular Quantum Dots with Phonon Mode
• Towards full counting statistics for the Anderson impurity model
• Kondo resonances and anomalous gate dependence of electronic conduction in single-molecule transistors
• Counting statistics and decoherence in coupled quantum dots
• Universal features of electron-phonon interactions in atomic wires
• Inelastic tunneling effects on noise properties of 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
• Full counting statistics for the Kondo dot in the unitary limit
• Full counting statistics of strongly non-Ohmic transport through single molecules
• Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer

Cited by in corpus (70)

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• Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and application to vibrational instabilities
• Current noise in molecular junctions: effects of the electron-phonon interaction
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• Sub-Ohmic to super-Ohmic crossover behavior in nonequilibrium quantum systems with electron-phonon interactions
• 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
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• Long transient dynamics in the Anderson-Holstein model out of equilibrium
• Non-equilibrium electronic structure of interacting single-molecule nanojunctions: vertex corrections and polarization effects for the electron-vibron coupling
• Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
• Inelastic scattering and heating in a molecular spin pump
• Inelastic shot noise characteristics of nanoscale junctions from first principles
• Non-equilibrium inelastic electronic transport: Polarization effects and vertex corrections to the self-consistent Born approximation
• Enhanced noise at high bias in atomic-scale Au break junctions
• Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction
• Transient dynamics of a molecular quantum dot with a vibrational degree of freedom
• Full counting statistics of a single-molecular quantum dot
• Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
• Dressed tunneling approximation for electronic transport through molecular transistors
• High voltage assisted mechanical stabilization of single-molecule junctions
• Distribution of tunnelling times for quantum electron transport
• 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
• Transport properties of double quantum dots with electron-phonon coupling
• Thermodynamics of the polaron master equation at finite bias
• Distribution of residence times as a marker to distinguish different pathways for quantum transport
• Electro-Mechanical Transition in Quantum dots
• A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions
• Full counting statistics for electron transport in periodically driven quantum dots
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Telegraph noise in Markovian master equation for electron transport through molecular junctions
• Reconciling perturbative approaches in phonon assisted transport junctions
• Fast and accurate shot noise measurements on atomic-size junctions in the MHz regime
• Unified description of charge transfer mechanisms and vibronic dynamics in nanoscale junctions
• Phonon Spectroscopy by Electric Measurements of Coupled Quantum Dots
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Waiting time between charging and discharging processes in molecular junctions
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Cumulants of heat transfer across nonlinear quantum systems
• Noise in electromigrated nanojunctions
• Kondo effect and spin-active scattering in ferromagnet-superconductor junctions
• Effects of coupling to vibrational modes on the ac conductance of molecular junctions
• Build-up of Vibron-Mediated Electron Correlations in Molecular Junctions
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Finite frequency current noise in the Holstein model
• Current noise enhancement: channel mixing and possible nonequilibrium phonon backaction in atomic-scale Au junctions
• Inelastic Current Noise in Nanoscale Systems: Scattering Theory Analysis
• AC-Conductance through an Interacting Quantum Dot
• Nanomechanical effects in an Andreev quantum dot
• P-wave Cooper pair splitting
• Local density of states on a vibrational quantum dot out of equilibrium
• Transport and semiclassical dynamics of coupled quantum dots interacting with a local magnetic moment
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction
• Evolution of shot noise in suspended lithographic gold break junctions with bias and temperature
• Full counting statistics of Kondo-type tunneling in a quantum dot: the fluctuation effect of Slave-Boson field
• Current noise and higher order fluctuations in semiconducting bilayer systems
• Universal departure from Johnson-Nyquist relation caused by limited resolution
• Influence of electron-vibration interactions on electronic current noise of atomic and molecular junctions