Abstract
We study the time evolving currents flowing in an interacting, ring-shaped nanostructure after a bias voltage has been switched on. The source-to-drain current exhibits the expected relaxation towards its quasi-static equilibrium value at a rate $\Gamma_0$ reflecting the lead-induced broadening of the ring states. In contrast, the current circulating within the ring decays with a different rate $\Gamma$, which is a rapidly decaying function of the interaction strength and thus can take values orders of magnitude below $\Gamma_0$. This implies the existence of a regime in which the nanostructure is far from equilibrium even though the transmitted current is already stationary. We discuss experimental setups to observe the long-lived ring transients.
Highlights
Rapid CommunicationsWe study the time-evolving currents flowing in an interacting ring-shaped nanostructure after a bias voltage has been switched on
Isolated quantum systems, such as small molecules, feature a discrete set of energy levels
An alternative realization of our ringshaped model may be provided by quantum dot arrays [32], which in particular offer a high level of control of the couplings and allow one to enter the regime of strong interactions essential for the long-lived ring currents
Summary
We study the time-evolving currents flowing in an interacting ring-shaped nanostructure after a bias voltage has been switched on. The source-to-drain current exhibits the expected relaxation towards its quasistatic equilibrium value at a rate 0 reflecting the lead-induced broadening of the ring states. The current circulating within the ring decays with a different rate , which is a rapidly decaying function of the interaction strength and can take values orders of magnitude below 0. This implies the existence of a regime in which the nanostructure is far from equilibrium even though the transmitted current is already stationary. We discuss experimental setups to observe the long-lived ring transients
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