Variation of the Photoionization Cross-Section with the Position of a Hydrogenic Donor Impurity in a Gallium Arsenide Quantum Well Dot of Square Cross-Section
Abstract:In the present work, a theoretical study of the variation of the photoionization cross-section with the incident photon frequency and the axial position of a hydrogenic donor impurity in GaAs quantum well dot of square cross-section is carried out. In the calculation, a trial wave function in the effective mass approximation and a finite potential well is used. The wave function is constructed with an appropriate envelope wave function that satisfies the boundary conditions, i.e., the wave function vanishes at… Show more
“…Winnie Otieno et al showed that the cross section of photoionization in quantum wells is sensitive to the location of the impurity and the frequency of the incident photons [6]. In particular, Zorkani et al [7] studied the computation of the cross section of photoionization taking into account the carrier interaction load -phonon as well as the central correction by means of an analytical potential of impurity proposed by Munnix et al [8] in the case of gallium arsenide doped with manganese.…”
Theoretical expressions of the photoionization cross section for states of impurities as a function of photon energy have been developed. In the present work, we take into account contribution of crystal lattice vibrations by presenting the calculation of the overlap of vibrational wave functions. The results obtained are compared with experimental data and theoretical.
“…Winnie Otieno et al showed that the cross section of photoionization in quantum wells is sensitive to the location of the impurity and the frequency of the incident photons [6]. In particular, Zorkani et al [7] studied the computation of the cross section of photoionization taking into account the carrier interaction load -phonon as well as the central correction by means of an analytical potential of impurity proposed by Munnix et al [8] in the case of gallium arsenide doped with manganese.…”
Theoretical expressions of the photoionization cross section for states of impurities as a function of photon energy have been developed. In the present work, we take into account contribution of crystal lattice vibrations by presenting the calculation of the overlap of vibrational wave functions. The results obtained are compared with experimental data and theoretical.
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