Direct Interband Light Absorption in Strongly Prolated Ellipsoidal Quantum Dots' Ensemble

TL;DR

This paper investigates the energy levels and light absorption properties of strongly prolated ellipsoidal quantum dots, providing analytical formulas and considering size dispersion effects to relate theoretical results with potential experiments.

Contribution

It presents analytical expressions for energy spectra and absorption thresholds in different quantization regimes, including selection rules and size dispersion effects.

Findings

Derived analytical formulas for energy levels and absorption thresholds.

Identified selection rules for quantum transitions.

Analyzed effects of size dispersion on absorption properties.

Abstract

Within the framework of adiabatic approximation, the energy levels and direct interband light absorption in a strongly prolated ellipsoidal quantum dot are studied. Analytical expressions for the particle energy spectrum and absorption threshold frequencies in three regimes of quantization are obtained. Selection rules for quantum transitions are revealed. Absorption edge and absorption coefficient for three regimes of size quantization (SQ) are also considered. To facilitate the comparison of obtained results with the probable experimental data, size dispersion distribution of growing quantum dots by the small semiaxe in the regimes of strong and weak SQ by two experimentally realizing distribution functions have been taken into account. Distribution functions of Lifshits-Slezov and Gaussian have been considered.