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Article

Binding Energies and Optical Properties of Power-Exponential and Modified Gaussian Quantum Dots

by
Ruba Mohammad Alauwaji
1,2,
Hassen Dakhlaoui
2,3,
Eman Algraphy
2,3,
Fatih Ungan
4,5 and
Bryan M. Wong
6,*
1
Physics Department, College of Science, Qassim University, Qassim 51452, Saudi Arabia
2
Physics Department, College of Science of Dammam, Imam Abdulrahman Bin Faisal University, Dammam 34212, Saudi Arabia
3
Nanomaterials Technology Unit, Basic and Applied Scientific Research Center (BASRC), Physics Department, College of Science of Dammam, Imam Abdulrahman Bin Faisal University, Dammam 34212, Saudi Arabia
4
Department of Physics, Faculty of Science, Sivas Cumhuriyet University, Sivas 58140, Turkey
5
Nanophotonics Research and Application Center, Sivas 58070, Turkey
6
Materials Science & Engineering Program, Department of Chemistry, and Department of Physics & Astronomy, University of California-Riverside, Riverside, CA 92521, USA
*
Author to whom correspondence should be addressed.
Molecules 2024, 29(13), 3052; https://doi.org/10.3390/molecules29133052
Submission received: 22 May 2024 / Revised: 22 June 2024 / Accepted: 22 June 2024 / Published: 27 June 2024
(This article belongs to the Special Issue Two-Dimensional Materials: From Synthesis to Applications)
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Abstract

We examine the optical and electronic properties of a GaAs spherical quantum dot with a hydrogenic impurity in its center. We study two different confining potentials: (1) a modified Gaussian potential and (2) a power-exponential potential. Using the finite difference method, we solve the radial Schrodinger equation for the 1s and 1p energy levels and their probability densities and subsequently compute the optical absorption coefficient (OAC) for each confining potential using Fermi’s golden rule. We discuss the role of different physical quantities influencing the behavior of the OAC, such as the structural parameters of each potential, the dipole matrix elements, and their energy separation. Our results show that modification of the structural physical parameters of each potential can enable new optoelectronic devices that can leverage inter-sub-band optical transitions.
Keywords: optical absorption coefficient; binding energy; GaAs quantum dot; Schrödinger equation; hydrogenic impurity optical absorption coefficient; binding energy; GaAs quantum dot; Schrödinger equation; hydrogenic impurity

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MDPI and ACS Style

Alauwaji, R.M.; Dakhlaoui, H.; Algraphy, E.; Ungan, F.; Wong, B.M. Binding Energies and Optical Properties of Power-Exponential and Modified Gaussian Quantum Dots. Molecules 2024, 29, 3052. https://doi.org/10.3390/molecules29133052

AMA Style

Alauwaji RM, Dakhlaoui H, Algraphy E, Ungan F, Wong BM. Binding Energies and Optical Properties of Power-Exponential and Modified Gaussian Quantum Dots. Molecules. 2024; 29(13):3052. https://doi.org/10.3390/molecules29133052

Chicago/Turabian Style

Alauwaji, Ruba Mohammad, Hassen Dakhlaoui, Eman Algraphy, Fatih Ungan, and Bryan M. Wong. 2024. "Binding Energies and Optical Properties of Power-Exponential and Modified Gaussian Quantum Dots" Molecules 29, no. 13: 3052. https://doi.org/10.3390/molecules29133052

APA Style

Alauwaji, R. M., Dakhlaoui, H., Algraphy, E., Ungan, F., & Wong, B. M. (2024). Binding Energies and Optical Properties of Power-Exponential and Modified Gaussian Quantum Dots. Molecules, 29(13), 3052. https://doi.org/10.3390/molecules29133052

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