This study analyzes the role of the magnetic field and the polaron effect o
n the binding energy of shallow donor impurities in a cylindrical quantum d
ot (QD), where the magnetic field is applied in the axial direction. The in
teractions of carrier charges (electron and ion) with the confined longitud
inal optical phonons as well as the side surface and top surface optical ph
onons are considered. Calculations are made using the effective-mass approx
imation within the variational approach for an infinite confinement potenti
al 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 polaroni
c correction on the magnetic field and the impurity position. The presented
results can be useful to control the spatial distribution of the donor cen
ter in the QD. (C) 2000 American Institute of Physics. [S0021-8979(00)02818
-8].