Impact of Electronic States of Conical Shape of Indium Arsenide/Gallium Arsenide Semiconductor Quantum Dots


Fayz-Al-Asad M., Al-Rumman M., Alam M. N. , Parvin S., Tunç C.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, vol.16, no.2, 2021 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2021
  • Title of Journal : APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
  • Keywords: Conical quantum dots, Eigenvalue problem, Schrodinger equation, Energy level, Quantum number, EQUATION

Abstract

Semiconductor quantum dots (QDs) have unique atom-like properties. In this work, the electronic states of InAs quantum dot grown on a GaAs substrate has been studied. The analytical expressions of electron wave function for cone-like quantum dot on the semiconductor surface has been obtained and the governing eigen value equation has been solved, thereby obtaining the dependence of ground state energy on radius and height of the cone-shaped nano-dots. In addition, the energy of eigenvalues is computed for various length and thickness of the wetting layer (WL). We discovered that the eigen functions and energies are nearly associated with the GaAs potential.