Donor in cylindrical quantum well wire under the action of an applied magnetic field

In this paper we present a calculation of the binding energy of a donor impurity in a cylindrical GaAs-Ga0.6Al0.4As quantum well wire (QWW) as a function of an applied magnetic field for different wire radii and different positions of the donor. The model considers an infinite length QWW with a carrier that is confined laterally by a parabolic potential and the presence of a uniform magnetic field applied parallel to the wire axis. The 1s-like impurity state is considered using the effective-mass approximation within the variational approach. We found that for a given wire radius the binding energy of the impurity increases with the magnetic field and that for a given magnetic field value it decreases with wire radius. Our results are in good agreement with previous theoretical reports.