https://doi.org/10.1140/epjd/s10053-025-01091-x
Regular Article
Understanding optical properties of one-electron cylindrical quantum dot: three-dimensional confinement and off-center displacement effects
1
College of Technology, University of Buea, P.O. Box 63, Buea, Cameroon
2
Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon
3
Laboratoire de Physique Fondamentale, UFD Mathématiques, Informatique Appliquée et Physique Fondamentale, University of Douala, P.O. Box 24157, Douala, Cameroon
Received:
15
April
2025
Accepted:
30
October
2025
Published online:
13
December
2025
Non-relativistic energies, squared magnitude of the dipole matrix elements, oscillator strengths of one-electron GaAs–
cylindrical quantum dot are studied within the framework of the effective mass approximation and by using a variational Galerkin-type approach based on B-spline functions. A three-dimensional (cylindrical symmetry) model potential representing the effects of the confinement in the two directions is employed along with the consideration of the off-center displacement. The results show that when the impurity is located at the center of the wire, both the transversal and the longitudinal transition energies exhibit a maximum as a function of the wire radius, while the dipole matrix elements as well as the oscillator strengths present a more complex variation with respect to the wire radius. Increasing the potential well depth raises the transition energies and shifts the position of their maximum toward smaller wire radii. Introducing an off-center displacement decreases the transition energies and reverses their dependence on the wire radius, demonstrating a significant impact on the electronic structure. Moreover, the dipole oscillator strengths exhibit a minimum, slightly depending on the well depth, whose appearance could mean a weaker transition probability, which would reveal a strong localization of the electronic density around this point and then a possible stability of the impurity out from the center of the cylindrical quantum dot. Furthermore, the dipole oscillator strengths display a minimum whose position depends on the well depth. The occurrence of a certain singular value of the off-center displacement is observed depending on the wire radius where the variations of the transversal oscillator strengths with respect to the potential depth invert. Finally, the dipole matrix elements and oscillator strengths exhibit minima at peculiar wire radius, beyond which the excited state merges into the unbound states.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
