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    Hydrogenic donor-related binding energy and diamagnetic susceptibility in multilayer cylindrical quantum dots under hydrostatic pressure
    (Springer Heidelberg, 2023) El-Bakkari, K.; Jaouane, M.; Fakkahi, A.; Ed-Dahmouny, A.; Arraoui, R.; Azmi, H.; Sali, A.
    This study employs the finite element method based on the effective-mass approximation (EMA) to numerically investigate the behavior of impurities in multilayer cylindrical quantum dots (MLCQDs). We consider the applied hydrostatic pressure (P) in our numerical analysis. The study presents numerical results for macroscopic parameters that follow the electronic properties, the binding energy (E-b), and diamagnetic susceptibility (?(dia)) of the ground state (1 s) and some excited states (1p and 2 s) of the impurity in the MLCQDs. The E-b and the ?(dia) for the three states are calculated as a function of the radius R, impurity position z0 and the hydrostatic pressure. The numerical results show that the binding energies of impurities decrease with the radius for all levels. The E-b(1s) and E-b(1p) have three maximum values that typify the number of the quantum dot layer materials contained in our system. Moreover, the diamagnetic susceptibility for the three levels is strongly affected by the hydrostatic pressure, impurity location, and radius.
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    Investigation of nonlinear optical rectification within multilayer wurtzite InGaN/GaN cylindrical quantum dots under the impact of temperature and pressure
    (Elsevier, 2024) Jaouane, M.; Ed-Dahmouny, A.; Fakkahi, A.; Arraoui, R.; El-Bakkari, K.; Azmi, H.; Sali, A.
    We have looked numerically at variations of the nonlinear optical rectification (NOR) for an impurity donor localized in a wurtzite Inx0Ga1-x0N/GaN multilayer cylindrical quantum dots (MLCQDs), which is under the effect of hydrostatic pressure and temperature. Using the effective mass approximation, the compact density matrix formalism, we have solved the Schrodinger equation by the finite element method (FEniCS Project) . Firstly, we consider the impact of altering the polarization direction of the incident electromagnetic radiation. Specifically, we explore two distinct scenarios: axial, along the growth axis of the structure, and circular, across the cross-section of the cylinder. From our investigation, we found that the nonlinear optical rectification is determined by two main parameters: the transition energy, which is mainly related to quantum confinement, and the geometrical factor that depends on the distribution of the electron wave functions. The NOR experiences a blueshift with an increase in hydrostatic pressure or indium composition, and a redshift with an increase in temperature or quantum dot radius, where the impurity is located in the center of the upper QD. Furthermore, the results show that the amplitude and resonance peak position of NOR are significantly influenced by varying the impurity's position and the barrier width.
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    Optical and electronic properties of confined exciton in a dot-in-rod structure
    (Elsevier Ltd, 2025) Jaouane, M.; Arraoui, R.; Ed-Dahmouny, A.; Fakkahi, A.; Azmi, H.; El-Bakkari, K.; Althib, H.M.
    This study explores the excitonic properties of CdSe/CdS dot-in-rod nanostructures using the perturbation method within the effective mass approximation, combined with the finite element method. We analyze the first three excitonic energy levels (1S, 2S, and 3S), along with the electron and hole states, the exciton binding energy, and absorption coefficient for transitions between these levels under an applied electric field, as functions of the dot radius (Rc) and sidewall thickness (C). Our results reveal that the exciton binding energy reaches a maximum at a critical dot radius (Rc≃2nm), while excitonic energy levels decrease with increasing R due to quantum confinement effects. The applied electric field significantly modifies the exciton energy, increasing the first and third states while decreasing the second due to the quantum-confined Stark effect, which induces carrier polarization. The absorption coefficient for transitions among the 1S, 2S, and 3S peaks in an energy range comparable to experimentally observed photoluminescence spectra. Additionally, as Rc increases, the absorption peak undergoes a blue shift, whereas an increase in C results in a redshift and a slight enhancement in amplitude. These findings highlight the potential for tuning excitonic properties in optoelectronic and quantum applications. © 2025 Elsevier Ltd