Donor impurity states in a non-uniform quantum strip: Geometrical and electro-magnetic field effects

The neutral donor energy structure in non-uniform height quantum strip under the presence of crossed electric and magnetic fields is studied. The quantum strip height has been modeled by including a phenomenological two-parametric function. The first of these parameters is related to the number of structural hills present on the nano-strip, while the second one allows us to control the hills height. We solve the Schrödinger equation by considering specific quantum strips whose height-to-base aspect ratio is very small, which makes possible to calculate numerically the energy structure trough the adiabatic approximation and the exact diagonalization method. In limit cases, our results are in good agreement with those ones previously reported. Periodic oscillations of the ground state energy with magnetic field strength can be tuned by applied electric field which also yields an anti-crossing of the energy levels in a quantum strip with two hills. The energy level structure are strongly sensitive to changes of nano-strip geometrical factors.