Importance of individual scattering matrix elements at Fano resonances

TL;DR

This paper investigates the informativeness of individual scattering matrix elements at Fano resonances in quantum wires, aiming to identify which channels provide the most useful phase shift information for experimental measurements.

Contribution

It analyzes the differential informativeness of scattering channels at Fano resonances, guiding experimental focus on the most informative channels.

Findings

Certain channels exhibit sharp phase drops, indicating higher information content.

Some channels do not show phase drops, suggesting limited usefulness for charge localization.

The study provides criteria to select channels for efficient experimental measurement.

Abstract

Single particle resonances in quantum wires are generally Fano resonances. In case of Fano resonances, the scattering phase shift in some channels show sharp phase drops and that in the other channels do not. Phase shift in a particular channel can be measured and can yield information about the integrated charge localized around the scatterer. This paper tries to analyze if some channels are more informative than the others, so that an experimentalist can measure the phase shift in only those channels.