Linear and nonlinear optical properties in spherical quantum dots: Inversely quadratic Hellmann potential

TL;DR

This paper investigates the optical properties of spherical quantum dots confined in an inverse quadratic Hellmann potential, deriving analytical solutions and analyzing linear and nonlinear optical responses.

Contribution

It provides new analytical expressions for eigenenergies and eigenfunctions and explores the influence of structure parameters and optical intensity on optical properties.

Findings

Optical absorption coefficients are significantly affected by structure parameters.

Refractive index changes depend strongly on optical intensity.

Both linear and third-order nonlinear optical responses are characterized.

Abstract

The aims of the reported work are to provide new insights into the quantum dot optical properties confined in an inverse of a quadratic Hellmann potential. The Schr\"odinger equation is solved using the Nikiforov-Uvarov (NU) method, in order to obtain the analytical expressions of the eigenenergies and the eigenfunctions. The linear together with the third-order nonlinear changes in absorption coefficients and refractive index are investigated using the density matrix formalism. The absorption coefficients and the refractive index changes are strong related to the structure parameters and the optical intensity.