Phonon-assisted current noise in molecular junctions

Abstract

We investigate the effects of phonon scattering on the electronic current noise through nanojunctions using the non-equilibrium Green's functions formalism extended to include the counting field. In the case of weak electron-phonon coupling and a single broad electronic level we derive an analytic expression for the current noise at arbitrary temperature and identify physically distinct contributions based on their voltage dependence. We apply our theory to the experimentally relevant case of a deuterium molecule placed in a break-junction and predict a significant inelastic contribution to the current noise.

4 pages, 3 figures; updated version

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Cited by in corpus (64)

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• Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
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• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• 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
• Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime
• Current noise in molecular junctions: effects of the electron-phonon interaction
• Bias-Controlled Selective Excitation of Vibrational Modes in Molecular Junctions: A Route Towards Mode-Selective Chemistry
• Nonequilibrium phonon backaction on the current noise in atomic-sized junctions
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• Current Noise in Single-Molecule Junctions Induced by Electronic-Vibrational Coupling
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• Effect of nonadiabatic electronic-vibrational interactions on the transport properties of single-molecule junctions
• Non-equilibrium electronic structure of interacting single-molecule nanojunctions: vertex corrections and polarization effects for the electron-vibron coupling
• Inelastic scattering and heating in a molecular spin pump
• 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
• Inelastic shot noise characteristics of nanoscale junctions from first principles
• Full counting statistics of a single-molecular quantum dot
• Dressed tunneling approximation for electronic transport through molecular transistors
• 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
• Towards Noise Simulation in Interacting Nonequilibrium Systems Strongly Coupled to Baths
• 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
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• A Quasi-Classical Mapping Approach to Vibrationally Coupled Electron Transport in Molecular Junctions
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Full counting statistics of information content in the presence of Coulomb interaction
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• Charge-vibration interaction effects in normal-superconductor quantum dots
• Quantum flicker noise in atomic and molecular junctions
• Fast and accurate shot noise measurements on atomic-size junctions in the MHz regime
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Phonon Spectroscopy by Electric Measurements of Coupled Quantum Dots
• Unified description of charge transfer mechanisms and vibronic dynamics in nanoscale junctions
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Noise in electromigrated nanojunctions
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• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Build-up of Vibron-Mediated Electron Correlations in Molecular Junctions
• Effects of coupling to vibrational modes on the ac conductance of molecular junctions
• Current noise enhancement: channel mixing and possible nonequilibrium phonon backaction in atomic-scale Au junctions
• Finite frequency current noise in the Holstein model
• AC-Conductance through an Interacting Quantum Dot
• Inelastic Current Noise in Nanoscale Systems: Scattering Theory Analysis
• Nanomechanical effects in an Andreev quantum dot
• Counting Statistics in Nanoscale Junctions
• Local density of states on a vibrational quantum dot out of equilibrium
• P-wave Cooper pair splitting
• Full counting statistics of information content and particle number
• 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
• Force-noise spectroscopy by tunnelling current deflection sensing
• 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
• Effect of uniaxial magnetic anisotropy on charge transport in a junction with a precessing anisotropic molecular spin