Transient dynamics in the Anderson-Holstein model with interfacial screening

TL;DR

This paper investigates the transient electronic transport in the Anderson-Holstein model considering electron-phonon interactions and dot-lead repulsion, revealing complex oscillatory behaviors and dynamical processes through a nonperturbative approach.

Contribution

It introduces a nonperturbative method to analyze transient responses in the Anderson-Holstein model, distinguishing between charge rearrangement and many-body state formation.

Findings

Transient oscillations depend on initial conditions.

Charge rearrangement and many-body state formation are disentangled.

Transitions involve Franck-Condon excitations and resonant level shifts.

Abstract

We study the combined effects of electron-phonon coupling and dot-lead repulsion in the transport properties of the Anderson-Holstein model. We employ a recently proposed nonperturbative method to calculate the transient response of the system. By varying the initial conditions for the time propagation the current exhibits transient oscillations of different nature. We are able to disentangle two dynamical processes, namely the local charge rearrangement due to the dot-lead contacting and the establishment of the nonequilbrium many-body state due to the application of the external bias. These processes involve either Franck-Condon excitations or transitions between the resonant level and the Fermi energy of the leads.