Unified description of charge transfer mechanisms and vibronic dynamics in nanoscale junctions

Abstract

We propose a general framework that unifies the point of view of counting statistics of transmitted (fermionic) charges as it is commonly used in the quantum transport community to the point of view of counting statics of phonons (bosons) as it is known from the field of quantum optics. As a particular example, we study on the same footing the counting statistics of electrons transfered through a molecular junction and the corresponding population dynamics of the associated molecular vibrational mode. In the tunnel limit, non-perturbative results in the electron-phonon interaction are derived that unify complementary approaches based on rate equations or on the use of non-equilibrium Green functions.

References in corpus (14)

• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Theory of the Franck-Condon blockade regime
• Inelastic scattering and local heating in atomic gold wires
• Electron-vibration interaction in single-molecule junctions: from contact to tunneling regime
• 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
• Full counting statistics of strongly non-Ohmic transport through single molecules
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• Effects of charge-dependent vibrational frequencies and anharmonicities in transport through molecules
• Interpolative approach for electron-electron and electron-phonon interactions: from the Kondo to the polaronic regime
• Transport through a molecular quantum dot in the polaron crossover regime

Cited by in corpus (12)

• Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and application to vibrational instabilities
• Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem
• Current Noise in Single-Molecule Junctions Induced by Electronic-Vibrational Coupling
• Long transient dynamics in the Anderson-Holstein model out of equilibrium
• Cooling by heating in nonequilibrium nanosystems
• Full counting statistics of a single-molecular quantum dot
• 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
• Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator
• Vibrationally coupled electron transport in single-molecule junctions: The importance of electron-hole pair creation processes
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Effects of coupling to vibrational modes on the ac conductance of molecular junctions
• Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling