Mesoscopic Fano Effect in a Quantum Dot Embedded in an Aharonov-Bohm Ring

TL;DR

This paper investigates the mesoscopic Fano effect in a quantum dot embedded within an Aharonov-Bohm ring, revealing how complex asymmetric parameters can probe the quantum phase of electrons.

Contribution

It introduces the use of complex Fano asymmetric parameters to analyze the quantum-mechanical phase in a hybrid quantum dot-Aharonov-Bohm ring system.

Findings

Complex $q$ parameters describe Fano lineshape variations.

Fano effect serves as a probe for electron quantum phase.

Correlation between Coulomb peak height and $q$ parameter.

Abstract

The Fano effect, which occurs through the quantum-mechanical cooperation between resonance and interference, can be observed in electron transport through a hybrid system of a quantum dot and an Aharonov-Bohm ring. While a clear correlation appears between the height of the Coulomb peak and the real asymmetric parameter $q$ for the corresponding Fano lineshape, we need to introduce a complex $q$ to describe the variation of the lineshape by the magnetic and electrostatic fields. The present analysis demonstrates that the Fano effect with complex asymmetric parameters provides a good probe to detect a quantum-mechanical phase of traversing electrons.