Quantum electron splitter based on two quantum dots attached to leads

TL;DR

This paper demonstrates that a device with two quantum dots attached to a quantum wire can act as a quantum electron splitter, with conductance features explained by Fano and Breit-Wigner resonances.

Contribution

It introduces a quantum electron splitter based on two quantum dots and analyzes its transport properties using the two impurity Anderson Hamiltonian.

Findings

Conductance exhibits superposition of Fano and Breit-Wigner resonances.

Wave packets can be split into three at the drain lead.

Device functions as a quantum electron splitter.

Abstract

Electronic transport properties of two quantum dots side-coupled to a quantum wire are studied by means of the two impurity Anderson Hamiltonian. The conductance is found to be a superposition of a Fano and a Breit-Wigner resonances as a function of the Fermi energy, when the gate voltages of the quantum dots are slightly different. Under this condition, we analyze the time evolution of a Gaussian-shaped superposition of plane waves incoming from the source lead, and found that the wave packet can be splitted into three packets at the drain lead. This spatial pattern manifests in a direct way the peculiarities of the conductance in energy space. We conclude that the device acts as a quantum electron splitter.