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Exploring the electronic properties of shallow donor impurities in modified ∩-shaped potential: effects of applied electric field, parabolicity, compositions, and thickness

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Abstract

In this paper, we employed numerical modeling to investigate the influence of crucial parameters, namely electric field, confinement parabolicity, compositions, and structure parameters, on the electron probability, impurity polarizability, diamagnetic susceptibility, and ionization energy of hydrogenic donor impurities within a modified ∩-shaped potential. The Schrödinger equation is solved using the finite element approach within the framework of the effective mass theory to analyze the resulting electronic properties. Our results demonstrate a significant impact of these factors on both electrons and impurities, with the ability to fine-tune these properties through parameter adjustments. These findings hold significant implications for the advancement of precise and efficient III-nitride-based optoelectronic devices, including solar cells, photodetectors, and lasers.

Graphical abstract

Effect of Applied Vertical Electric Field on Electron Probability Density in Inverted Parabolic Quantum Well with Varying Degrees of Confinement

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the data pertaining to the topic has been thoroughly included and described within the text of this article. Hence, there is no need for a separate data deposition.]

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Acknowledgements

We would like to express our sincere gratitude and heartfelt appreciation to our esteemed collaborators from Hungary and Turkey. Their invaluable contribution and insightful discussions have been instrumental in enhancing the quality of this work. Without their support, this project would not have been possible.

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Authors and Affiliations

  1. Faculty of Sciences, University of Sidi Mohamed Ben Abdullah, B.P. 2202, Fez, Morocco

    Redouane En-nadir, Haddou El Ghazi, Walid Belaid, Ibrahim Maouhoubi & Izeddine Zorkani

  2. ENSAM, University Hassan-II University, 20670, Casablanca, Morocco

    Haddou El Ghazi

  3. Institute of Ceramic and Polymer Engineering, University of Miskolc, Miskolc, 3515, Hungary

    Mohammed Tihtih

  4. Department of Physics, Faculty of Science, Sélçuk University, 42031, Konya, Turkey

    Shrouk E. Zaki & Walid Belaid

  5. Department of Nanotechnology and Advanced Materials, Sélçuk University, 42030, Konya, Turkey

    Shrouk E. Zaki

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  1. Redouane En-nadir
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  2. Haddou El Ghazi
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  3. Mohammed Tihtih
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  4. Shrouk E. Zaki
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  7. Izeddine Zorkani
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Contributions

Conceptualization, RE, MT, SEZ and WB; resources, RE and HE; writing—original draft preparation, RE and HE; methodology, RE and HE; writing—review and editing, LI and IZ; supervision, HE and AJ; project administration, HE and IZ. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Redouane En-nadir.

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En-nadir, R., El Ghazi, H., Tihtih, M. et al. Exploring the electronic properties of shallow donor impurities in modified ∩-shaped potential: effects of applied electric field, parabolicity, compositions, and thickness. Eur. Phys. J. B 96, 78 (2023). https://doi.org/10.1140/epjb/s10051-023-00539-6

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