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The impact of the electric field on the photoionization cross section, polarizability, and donor impurity binding energy in multilayered spherical quantum dot

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Abstract

In the present paper, we look at how the applied electric field (EF) and structure sizes affect the shallow donor impurity binding energy (\({E}_{\mathrm{b}}\)), polarizability (\({P}_{\alpha }\)) and photoionization cross section (PCS) of multilayer spherical quantum dots (MSQDs). The structure's wave functions and eigenvalues are calculated using the finite-element method (FEM) and in the framework of the effective mass approximation. The obtained numerical results show that the system sizes (core radius and well width) and the external EF have a considerable influence on the \({E}_{\mathrm{b}}\) of shallow donor impurity, polarizability as well as on the dependence of the PCS on the incident photon energy.

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Data availability statement

The data sets generated during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Solid Physics Laboratory, Department of Physics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Dhar El Mahraz, B.P. 1796, Fez, Morocco

    A. Fakkahi, M. Jaouane, A. Sali, R. Arraoui, K. El-bakkari & H. Azmi

  2. Department of Mathematics and Science Education, Faculty of Education, Yozgat Bozok University, 66200, Yozgat, Turkey

    M. Kirak

  3. Faculty of Sciences and Technique, Sidi Mohamed Ben Abdellah University, Route d’Imouzzer, B.P. 2202, Fez, Morocco

    A. Ed-Dahmouny

  4. Centre Régional des Metiers de l’Education et de la Formation (CRMEF) de Fès, B.P. 49, Fez, Morocco

    K. Limame

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Contributions

The contributions of the authors are as follows: AF and MJ: worked on the numerical calculations, in formal analysis, and writing of the manuscript. AS: proposed the problem and worked on the numerical calculations and writing of the manuscript. MK, KL, KE-B, AE-D, RA, and HA: worked on the numerical calculations and writing of the manuscript.

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Fakkahi, A., Jaouane, M., Limame, K. et al. The impact of the electric field on the photoionization cross section, polarizability, and donor impurity binding energy in multilayered spherical quantum dot. Appl. Phys. A 129, 188 (2023). https://doi.org/10.1007/s00339-023-06472-w

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