Eur. Phys. J. Plus (2022) 137: 6
https://doi.org/10.1140/epjp/s13360-021-02188-z

Regular Article

Investigation of the magnetic field effects in creation of degeneracies and the role of aluminum concentration and radius size on removal the degeneracies related to the energy states of multilayered nanostructures

¹ Department of Physics, Faculty of Sciences, Shiraz Branch, Islamic Azad University, Shiraz, Iran
² Department of Physics, Lamerd Higher Education Center, Lamerd, Iran

^b tooraj.gh@gmail.com

Received: 27 April 2021
Accepted: 15 November 2021
Published online: 13 December 2021

Abstract

In this study, the effect of magnetic field on the energy levels of spherical multilayer quantum dot (MLQD) and spherical multilayer quantum anti-dot (MLQAD) with hydrogenic impurity has been studied. To this aim, based on perturbation theory, theoretical results are presented, and it is shown how the magnetic field affects energy levels. Furthermore, the wave functions and energies of an electron in spherical MLQD and MLQAD which experiences a finite confinement potential have been calculated under an applied magnetic field. These calculations have been made in the framework of the effective mass approximation via the diagonalization Hamiltonian matrix using numerical methods. The results show that changes in energy levels in the MLQD and MLQAD models are significantly different. In this research, it is proved that the applied magnetic field does not always remove the degeneracies of energy levels, and under certain conditions, the applied magnetic field itself can cause new degeneracies in energy levels, which is obviously seen in the MLQAD model. In the following, in order to remove these degeneracies, it has been observed that changes in radius or height of the potential barrier can completely remove these degeneracies.