Exact results for nonlinear ac-transport through a resonant level model

TL;DR

This paper derives exact analytical results for the time-dependent nonlinear ac-transport in a resonant level model, revealing transient phenomena and steady-state behaviors including current ringing and photon-assisted tunneling oscillations.

Contribution

It provides the first exact solutions for nonlinear ac-transport in a resonant level model under arbitrary voltage bias, covering transient and steady states.

Findings

Explicit expressions for ac-current in linear and nonlinear regimes.

Observation of current ringing and PAT oscillations.

Analysis of transient and steady-state behaviors.

Abstract

We obtain exact results for the transport through a resonant level model (noninteracting Anderson impurity model) for rectangular voltage bias as a function of time. We study both the transient behavior after switching on the tunneling at time t = 0 and the ensuing steady state behavior. Explicit expressions are obtained for the ac-current in the linear response regime and beyond for large voltage bias. Among other effects, we observe current ringing and PAT (photon assisted tunneling) oscillations.