Effect of nonparabolicity on the binding energy of a hydrogenic donor in a quantum well with a magnetic field

Abstract
A hydrogenic donor in a quantum well in the presence of a magnetic field perpendicular to the barrier is considered in the effective-mass approximation. The nonparabolicity of the subband is included in the Hamiltonian by an energy-dependent effective mass. The donor binding energy is calculated variationally for different well widths and the effect of nonparabolicity is discussed in the light of recent experimental results.