Transient dynamics of a molecular quantum dot with a vibrational degree of freedom

Abstract

We investigate the transient effects occurring in a molecular quantum dot described by an Anderson-Holstein Hamiltonian which is instantly coupled to two fermionic leads biased by a finite voltage. In the limit of weak electron-phonon interaction, we use perturbation theory to determine the time-dependence of the dot population and the average current. The limit of strong coupling is accessed by means of a self-consistent time-dependent mean-field approximation. These comple- mentary approaches allow us to investigate the dynamics of the inelastic effects occurring when the applied bias voltage exceeds the phonon frequency and the emergence of bistability.

7 pages, 4 figures

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Cited by in corpus (24)

• Numerically exact, time-dependent treatment of vibrationally coupled electron transport in single-molecule junctions
• Bistability signatures in nonequilibrium charge transport through molecular quantum dots
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Quantum thermodynamics of the resonant-level model with driven system-bath coupling
• Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
• Long transient dynamics in the Anderson-Holstein model out of equilibrium
• Crossover from adiabatic to antiadiabatic phonon-assisted tunneling in single-molecule transistors
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Full-counting statistics of energy transport of molecular junctions in the polaronic regime
• Transient heat generation in a quantum dot under a step-like pulse bias
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator
• Thermodynamics of energy, charge and spin currents in thermoelectric quantum-dot spin valve
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Interplay between electron-electron and electron-vibration interactions on the thermoelectric properties of molecular junctions
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Effects of coupling to vibrational modes on the ac conductance of molecular junctions
• Transient currents of a single molecular junction with a vibrational mode
• Local density of states on a vibrational quantum dot out of equilibrium
• Transient dynamics of an adiabatic NEMS
• Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
• Lifting the Franck-Condon blockade in driven quantum dots
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction
• Adiabatic Green's function technique and the transient behavior in time-dependent fermion-boson coupled models