Stroboscopic wave packet description of time-dependent currents through ring-shaped nanostructures

TL;DR

This paper introduces a new stroboscopic wave packet method for simulating time-dependent electric currents in nanojunctions, accurately capturing transient phenomena and steady states in open quantum systems.

Contribution

The paper presents a novel wave packet propagation technique for open quantum systems, enabling explicit simulations of time-dependent currents with full quantum coherence.

Findings

Current responses match Landauer formula predictions.

Circulating currents observed in transient regimes.

Gate potential influences current dynamics.

Abstract

We present an implementation of a new method for explicit simulations of time-dependent electric currents through nanojunctions. The method is based on unitary propagation of stroboscopic wave packet states and is designed to treat open systems with fluctuating number of electrons while preserving full quantum coherence throughout the whole infinite system. We demonstrate the performance of the method on a model system consisting of a ring-shaped nanojunction with two semi-infinite tight-binding leads. Time-dependent electron current responses to abrupt bias turn-on or gate potential switching are computed for several ring configurations and ring-leads coupling parameters. The found current-carrying stationary states agree well with the predictions of the Landauer formula. As examples of genuinely time-dependent process we explore the presence of circulating currents in the rings in transient regimes and the effect of a time-dependent gate potential.