Hydrogenic donor states in quantum dots in the presence of a magnetic field

Magnetic field and finite barrier-height effects on the polarizability of a shallow donor in a GaAs quantum wire

“…They have adopted an infinite confinement potential and taken into account the impurity position in the wire. In Refs [18] and [19] the authors have studied the hydrogenic impurity binding energy in QWWs and QDs in the presence of a magnetic field by using a variational approach. Zhigang et al [20] have calculated the binding energy of the ground state of a hydrogenic donor in a cylindrical wire in the presence of a magnetic field applied parallel to the wire axis as a function of the wire radius and magnetic field intensity.…”

Effects of an Electric Field on the Binding Energy of Shallow Hydrogenic Impurities in GaAs-(Ga,Al)As Quantum Boxes

“…A new impulse to the understanding of these systems was the theoretical study realized by Bastard [6] who in 1981 calculated the binding energy of hydrogenic impurities in quantum wells. It is important to emphasize results like the calculations of the binding energy of hydrogenic impurities in quantum wells, well wires and quantum boxes as a function of several parameters, such as the thickness of the heterostructure [7 to 11] and the impurity position [12], and as a function of the applied electric [1 to 4] and magnetic fields [13] as well.In this work using the effective-mass approximation within a varitional scheme, we calculate the binding energy and the probability density for a donor impurity in a GaAs±(Ga,Al)As quantum box under the action of an electric field applied perpendic- …”

Effect of the dielectric-constant mismatch and magnetic field on the binding energy of hydrogenic impurities in a spherical quantum dot

“…The behavior of energy levels of shallow impurities in QD's in the presence of a magnetic field has been investigated in several papers [18][19][20][21][22][23][24][25][26]. It was shown that in case of an on-center donor, the magnetic field enhances the binding energy and in case of an off-center donor, the effect of the magnetic field on the binding energy is somewhat complicated.…”