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Hydrostatic pressure, electric field, non-parabolicity and polaronic mass effects on the donor binding energy in a semimagnetic double quantum well

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Abstract

This study aims to examine the effects of electric field \((F)\), hydrostatic pressure (\(P)\), non-parabolicity (NP), and polaronic mass (PM) on the binding energy \(({E}_{\mathrm{b}})\) of an impurity confined in a semimagnetic \({\mathrm{Cd}}_{1-{x}_{w}}{\mathrm{Mn}}_{{x}_{w}}{\mathrm{Te}}/{\mathrm{Cd}}_{1-{x}_{b}}{\mathrm{Mn}}_{{x}_{b}}{\mathrm{Te}}\) symmetrical double quantum well (DQW) using a variational approach within the effective mass approximation. Additionally, the spin polaronic shift effect caused by the strong exchange interaction between the spin of the magnetic impurity \({\mathrm{Mn}}^{2+}\) and the spin of the confined carrier on the donor states is evaluated by considering the same effects as the \({E}_{\mathrm{b}}\). The results indicate that the \({E}_{\mathrm{b}}\) increases as the \(P\) values increase. Moreover, for an impurity placed at the center of the well, the \({E}_{\mathrm{b}}\) decreases as the strength of the F increases. Also, it has been found that the \({E}_{\mathrm{b}}\) is affected by the influence of non-parabolicity and polaronic mass particularly for narrow well width.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All the files with figures and codes are available. The corresponding author will provide all the files in case they are requested].

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Authors and Affiliations

  1. Laboratory of Solid-State Physics (LPS), Department of Physics, Faculty of Science Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, 1796, Fez, Morocco

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

  2. Laboratory of Engineering, Organometallic, Molecular Materials and Environment (LIMOME), Faculty of Science, Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Fez, Morocco

    N. Amri

  3. Laboratory of Intelligent Systems, Georesources and Renewable Energies (SIGER), Faculty of Sciences and Technology, Sidi Mohamed Ben Abdellah University, 2202, Fez, Morocco

    A. Ed-Dahmouny

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Contributions

Conceptualization was contributed by HA, KEB, MJ, AED, RA. Acquisition of data was contributed by HA, MJ, AED, RA. Analysis and/or interpretation of data were contributed by HA, KEB, AF, AS, NA. Drafting the manuscript was contributed by HA, KEB, MJ, AED. Revising the manuscript critically for important intellectual content was contributed by HA, AF, RA, AS, NA. Approval of the version of the manuscript to be published was contributed by HA, KEB, MJ, RA, AS, NA.

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Azmi, H., Amri, N., El-Bakkari, K. et al. Hydrostatic pressure, electric field, non-parabolicity and polaronic mass effects on the donor binding energy in a semimagnetic double quantum well. Eur. Phys. J. Plus 138, 952 (2023). https://doi.org/10.1140/epjp/s13360-023-04603-z

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