Abstract
This study analyzes the role of the magnetic field and the polaron effect on the binding energy of shallow donor impurities in a cylindrical quantum dot (QD), where the magnetic field is applied in the axial direction. The interactions of carrier charges (electron and ion) with the confined longitudinal optical phonons as well as the side surface and top surface optical phonons are considered. Calculations are made using the effective-mass approximation within the variational approach for an infinite confinement potential at all surfaces of the system. Results are obtained as a function of the dot sizes (radius and height) and the donor impurity position for several magnetic field strengths. Emphasis is put on the dependence of the polaronic correction on the magnetic field and the impurity position. The presented results can be useful to control the spatial distribution of the donor center in the QD.
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