Polarizability and binding energy of a shallow donor in spherical quantum dot-quantum well (QD-QW)

The polarizability and the binding energy is estimated for a shallow donor confined to move in inhomogeneous quantum dots (CdS/HgS/CdS). In this work, the Hass variational method within the effective mass approximation in used in the case of an infinitely deep well. The polarizability and the binding energy depend on the inner and the outer radius of the QDQW, also it depends strongly on the donor position. It's found that the stark effect is more important when the impurity is located at the center of the (QDQW) and becomes less important when the donor moves toward the extremities of the spherical layer. When the electric field increases, the binding energy and the polarizability decreases. Its effects is more pronounced when the impurity is placed on the center of the spherical layer and decrease when the donor move toward extremities of this spherical layer. We have demonstrated the existence of a critical value ${\left(\frac{R_1}{R_2}\right)}_{cri}$ which can be used to distinguish the tree dimension confinement from the spherical surface confinement and it's may be important for the nanofabrication techniques. (paper)