https://doi.org/10.1140/epjp/s13360-023-04044-8
Regular Article
Binding energy, electronic states, and optical absorption in a staircase-like spherical quantum dot with hydrogenic impurity
1
Nanomaterials Technology Unit, Basic and Applied Scientific Research Center (BASRC), Physics Department, College of Science of Dammam, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 31441, Dammam, Saudi Arabia
2
Physics Department, Faculty of Applied Science, Umm AL-Qura University, P. O Box 715, Makkah, Saudi Arabia
3
Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, 32093, Mubarak Al-Abdullah, Kuwait
4
Department of Physics, Faculty of Science, Sivas Cumhuriyet University, 58140, Sivas, Turkey
Received:
30
January
2023
Accepted:
2
May
2023
Published online:
12
June
2023
In this paper, we compute the impurity binding energy, electronic states, and optical absorption coefficients of a staircase-like spherical quantum dot with on-center hydrogenic impurity within the effective mass approximation. Firstly, we solve the time-independent Schrödinger numerically to obtain the subband energy levels and the wavefunctions of the 1s and 1p states. We then employ these wavefunctions to compute the electron probability densities of the quantum dot with and without the presence of the hydrogenic impurity. Furthermore, we deduce the optical absorption coefficient between 1s and 1p states using the Fermi’s Golden Rule and discuss in detail the effect of geometrical sizes of cores and shells on the transition matrix element, energy level separation, and impurity binding energy. For example, find that an increase in the central core diameter initially blueshifts the optical absorption coefficient and then, redshifts it at higher values whereas an increase in the shell’s thickness causes only blueshifts of the quantum dot absorption. Furthermore, we discuss in detail the effect of the coulomb attraction due to the hydrogenic impurity on the wavefunctions and their overlap. To the best of our knowledge, the present investigation is the first work on the optical properties of a staircase-like spherical quantum dot with on-center hydrogenic impurity. We believe that the manipulation of shells and cores thickness may furnish supplementary advantages in the fabrication of novel generation of electronic devices operating based on inter-subband optical transitions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
