Exciton spectrum in multi-shell hexagonal semiconductor nanotube

TL;DR

This paper develops a theoretical model for the exciton spectrum in multi-shell hexagonal semiconductor nanotubes, explaining experimental luminescence peaks and revealing non-monotonous dependence of exciton binding energy on inner wire diameter.

Contribution

It introduces a new theoretical approach using effective potential methods to analyze exciton spectra in complex nanotube structures.

Findings

Exciton binding energy varies non-monotonously with inner wire diameter.

Theoretical results match experimental luminescence peak positions.

Model provides insights into exciton behavior in multi-shell nanotubes.

Abstract

The theory of exciton spectrum in multi-shell hexagonal semiconductor nanotube is developed within the effective masses and rectangular potentials approximations using the method of effective potential. It is shown that the exciton binding energy for all states non-monotonously depends on the inner wire diameter, approaching several minimal and maximal magnitudes. The obtained theoretical results explain well the experimental positions of luminescence peaks for GaAs/Al_{0.4}Ga_{0.6}As nanotubes.