Adiabatic description of nonspherical quantum dot models

TL;DR

This paper develops an adiabatic approach within the effective mass approximation to analyze the spectral and optical properties of nonspherical quantum dot models, focusing on spheroidal and dumbbell shapes under strong quantization.

Contribution

It introduces a novel adiabatic method using basis function expansions for nonspherical quantum dots, enhancing understanding of their spectral and optical features.

Findings

Spectral characteristics depend on geometric size and shape.

Optical properties vary with confining potential symmetry.

Adiabatic approximation effectively describes strong quantization regimes.

Abstract

Within the effective mass approximation an adiabatic description of spheroidal and dumbbell quantum dot models in the regime of strong dimensional quantization is presented using the expansion of the wave function in appropriate sets of single-parameter basis functions. The comparison is given and the peculiarities are considered for spectral and optical characteristics of the models with axially symmetric confining potentials depending on their geometric size making use of the total sets of exact and adiabatic quantum numbers in appropriate analytic approximations.