The photoionization cross section of a hydrogenic impurity in a multi-layered spherical quantum dot

TL;DR

This paper investigates how the photoionization cross section of a hydrogenic impurity in a multi-layered spherical quantum dot varies with layer thickness and photon energy, providing detailed numerical analysis and physical insights.

Contribution

It introduces a fully numerical method to calculate energy levels, binding energies, and photoionization cross sections in multi-layered spherical quantum dots, highlighting their dependence on structural parameters.

Findings

Binding energies depend strongly on layer thickness.

Photoionization cross section varies significantly with photon energy.

Both quantities are sensitive to structural changes in the quantum dot.

Abstract

In this study, we have investigated the photoionization cross section of an on-center hydrogenic impurity in a multi-layered spherical quantum dot. The electronic energy levels and their wave functions have been determined fully numerically by shooting method. Also, we have calculated the binding energy of the impurity by using these energy values. The photoionization cross section has also been computed as a function of the layer thickness and normalized photon energies. We have discussed in detail the possible physical reasons behind the changes in the binding energies and photoionization cross section. It is observed that both the binding energies and the photoionization cross sections depend strongly on the layer thickness and photon energies.