The electronic properties of a single electron in the GaAs/Ga1−xAlxAs oblate spheroidal quantum dot under the finite confinement potential

Abstract

Quantum Dots, due to their fully quantized electronic states, have contributed to considerable progress in modern science and technology. Here we calculate the wave functions and energy spectrum of an electron confined in an oblate spheroidal quantum dot under the finite barrier potential condition, allowing the tailoring of the various energy states for specific applications. By calculating the electron wave functions outside the dot, we found that an infinite barrier is not a valid approximation for analyzing the optical properties of the structure. The effect of various geometrical and electrical characteristics of the structure, including the eccentricity, effective volume, and the height of barrier potential, is investigated. Additionally, the findings are compared with those found with prolate spheroidal quantum dot. The findings are further validated by comparing them to the exact electron energy level in a spherical quantum under the infinite barrier approximation.