The energy state of an impurity donor in a type II quantum dot

The objective of the following research is to show the results of applying the variational Rayleigh-Ritz method to determine the binding energy of a hydrogenic impurity in 1s-like, 2p±-like and 2pz-like states, located in a cylindrical GaAs/AlAs quantum dot and in the presence of a uniform magnetic field applied in the axial direction. The binding energy of the 1s-like state when its position varies along the axis of the cylinder is also presented. The results show that the energies decrease as the system volume increases. We also consider the competition between geometric and magnetic confinement.