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A theoretical study of the effects of Thomas–Fermi and Hermanson’s dielectric functions and temperature on photoionization cross-section of a donor impurity in GaAs quantum dots of circular and rectangular cross-sections

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Abstract

We have carried out a comparative theoretical study of the effects of Thomas–Fermi and Hermanson’s spatial dielectric functions and temperature gradients on the photoionization cross-section of a donor impurity in GaAs quantum dots of cylindrical and of rectangular cross-sections. We have assumed an infinite barrier potential that confines the donor impurity within the quantum dots. The calculation of the photoionization cross-section has been carried out for a dielectric constant and two different spatial dielectric functions. This was carried out for constant temperature, axial length, and volume of the quantum dots and then for constant axial length and volume of the quantum dots but at different temperatures. Our results show that the photoionization cross-sections of the rectangular quantum dot are much smaller than those of the cylindrical quantum dot and they also peak at much lower frequencies compared to the latter for the same physical conditions. Additionally, the photoionization cross-sections increase with increasing temperature for both geometrical shapes of the quantum dots, but, again, the donor photoionization cross-sections of the cylindrical quantum dot are much larger over the range of temperatures considered in our study. Furthermore, Hermanson’s and Thomas–Fermi dielectric functions suppress the cross-sections with the former having a more pronounced effect than the latter.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors' comment: One can make reasonable request to the corresponding author incase of need of data in the present study. Furthermore, all the data can be readily generated using open source code, by making use of the parameters listed in the text.]

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Authors and Affiliations

  1. Department of Physics, Pwani University, Kilifi, 195-80108, Kenya

    F. Oketch & H. Oyoko

  2. Department of Mathematics and Physics, Technical University of Mombasa, Mombasa, 90420-80100, Kenya

    F. Oketch

Authors
  1. F. Oketch
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  2. H. Oyoko
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Contributions

HO originated the topic of the research and equally contributed in the calculations. FO did all the numerical work and wrote the draft of the paper.

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Correspondence to H. Oyoko.

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Oketch, F., Oyoko, H. A theoretical study of the effects of Thomas–Fermi and Hermanson’s dielectric functions and temperature on photoionization cross-section of a donor impurity in GaAs quantum dots of circular and rectangular cross-sections. Eur. Phys. J. B 95, 44 (2022). https://doi.org/10.1140/epjb/s10051-022-00301-4

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