III-V semiconducting compounds in the presence of a magnetic field are considered. The 14 x 14 effective hamiltonian in the frame of 5-level model is obtained. Directional dependence of selection rules are obtained. Shallow donor levels in the frame of spherical 3-level model are also considered. New trial functions suitable for a whole range of magnetic field are proposed. It is found that the energy as well as the variational function of each magnetodonor level is a continuous function of the magnetic field.
Theory of shallow donor in III-V semiconductors in the presence of magnetic field is reinvestigated. Considerations are performed within the 3-level Kane model. In order to avoid singularities caused by the Coulomb potential we divide it into short- and long-range components. The latter one is the slowly varying potential and contrary to the Coulomb potential it satisfies all demands for envelope function equation. The short-range part is contributing to a chemical shift. Calculation of energies of two possible spin states of ground donor level are then performed using variational method.
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.