Long transient dynamics in the Anderson-Holstein model out of equilibrium

Abstract

We calculate the time dependent nonequilibrium current through a single level quantum dot strongly coupled to a vibrational mode. The nonequilibrium real time dynamics caused by an instantaneous coupling of the leads to the quantum dot is discussed using an approximate method. The approach, which is specially designed for the strong polaronic regime, is based on the so-called polaron tunneling approximation. Considering different initial dot occupations, we show that a common steady state is reached after times much larger than the typical electron tunneling times due to a polaron blocking effect in the dot charge. A direct comparison is made with numerically exact data, showing good agreement for the time scales accessible by the diagrammatic Monte Carlo simulation method.

References in corpus (17)

• Continuous-time Monte Carlo methods for quantum impurity models
• Molecular Transport Junctions: Vibrational Effects
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Real-time path integral approach to nonequilibrium many-body quantum system
• Inelastic electron tunneling via molecular vibrations in single-molecule transistors
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Transient dynamics of the Anderson impurity model out of equilibrium
• 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
• Bistability signatures in nonequilibrium charge transport through molecular quantum dots
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Anderson impurity model in nonequilibrium: analytical results versus quantum Monte Carlo data
• 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
• Charge-memory effect in a polaron model: equation-of-motion method for Green functions

Cited by in corpus (8)

• Phonon dynamics in correlated quantum systems driven away from equilibrium
• Kondo effect and the fate of bistability in molecular quantum dots with strong electron-phonon coupling
• Electron transport in nanoscale junctions with local anharmonic modes
• Exponential and power-law renormalization in phonon-assisted tunneling
• Short time dynamics of molecular junctions after projective measurement
• Local density of states on a vibrational quantum dot out of equilibrium
• Electron-phonon interaction in the dynamics of trap filling in quantum dots
• Lifting the Franck-Condon blockade in driven quantum dots