Bound polaron in spherical quantum dots

Using a variational calculation within the effective masse approximation, w e calculated the binding energy of a bound polaron to shallow donor impurit y in spherical Quantum Dots (QD). The interactions of carrier charges (elec tron and ion) with the longitudinal optical phonons as well as the surface optical phonons are considered. Calculations are made using a finite confin ement potential. Results are obtained as a function of the dot size and the donor impurity position. It. is found that the binding energy is very sens itive to the polaronic effect, the confinement and the impurity position.