Time-dependent magnetotransport of a wave packet in a quantum wire with embedded quantum dots

TL;DR

This paper investigates how wave packets propagate in a quantum wire with embedded quantum dots or antidots under magnetic fields, revealing long-lived resonances and quantum skipping trajectories through computational simulations.

Contribution

It introduces a computational approach using the Lippmann-Schwinger formalism to analyze magnetotransport in quantum wires with embedded quantum structures, highlighting new resonance phenomena.

Findings

Long-lived resonance states enhance wave packet spreading.

Quantum skipping-like trajectories are induced at specific magnetic fields.

The method allows analysis of arbitrary embedded potential profiles.

Abstract

We consider wave packet propagation in a quantum wire with either an embedded antidot or an embedded parallel double open quantum dot under the influence of a uniform magnetic field. The magnetoconductance and the time evolution of an electron wave packet are calculated based on the Lippmann-Schwinger formalism. This approach allows us to look at arbitrary embedded potential profiles and illustrate the results by performing computational simulations for the conductance and the time evolution of the electron wave packet through the quantum wire. In the double-dot system we observe a long-lived resonance state that enhances the spatial spreading of the wave packet, and quantum skipping-like trajectories are induced when the envelop function of the wave packet covers several subbands in appropriate magnetic fields.