Stark shift and photoionization cross section of on-center and off-center donor impurity in a core/shell ellipsoidal quantum dot

Within the framework of the effective-mass approximation and by using a variational method, the Stark shift of on-center and off-center donor impurity binding energies and photoionization cross section under a z-direction electric field in a prolate (oblate) core/shell ellipsoidal quantum dot has been studied. We have calculated the Stark shift as a function of the core and shell sizes and shapes, electric field, and impurity position. We also discuss the photoionization cross section as a function of photon energy with different core and shell sizes and shapes, electric field strengths, and impurity positions. The results show that the Stark shift depends strongly on the impurity position, it could be positive or negative. The core and shell sizes and shapes also have a pronounce influence on the Stark shift, and the Stark shift changes with them is non-monotonic, especially when the impurity is located at the -z-axis, the situation will become complicated. In addition, the core and shell sizes and shapes, impurity position, and electric field also have an important influence on the photoionization cross section. In particular, the photoionization cross section will vanish when the impurity is located at center of spherical core with spherical or prolate shell case at zero field.