Eur. Phys. J. B (2022) 95: 84
https://doi.org/10.1140/epjb/s10051-022-00348-3

Regular Article - Mesoscopic and Nanoscale Systems

The second and third harmonic generation of GaAs/Ga${}_{1-x}$Al${}_x$As spherical quantum dots under a confining potential

School of Mechanics and Optoelectronics Physics, Anhui University of Science and Technology, 232001, Huainan, China

^b xuechao80@126.com

Received: 7 April 2022
Accepted: 5 May 2022
Published online: 17 May 2022

Abstract

The objective of this study is to theoretically discuss the impact of additional tuning factors on the second and third harmonic generation (SHG and THG) of GaAs/Ga${}_{1-x}$Al${}_x$As quantum dots (QDs) with the inversely quadratic Hellmann–Kratzer (IQHK) potential by adjusting the depth of potential and radius of the QDs. Within the formula method, the energy levels and the corresponding wave-functions are calculated by solving the Schrödinger equation. Then, the SHG and THG coefficients are deduced using the density matrix formalism with an iterative procedure. Finally, the results indicate that the additional tuning factors and structural parameters have significant effects on the peak positions and magnitudes of the calculated SHG and THG coefficients.