Effect of the Dielectric-Constant Mismatch and Magnetic Field on the   Binding Energy of Hydrogenic Impurities in a Spherical Quantum Dot
  Within the effective mass approximation and variational method the effect of dielectric constant mismatch between the size-quantized semiconductor sphere, coating and surrounding environment on impurity binding energy in both the absence and presence of a magnetic field is considered. The dependences of the binding energy of a hydrogenic on-center impurity on the sphere and coating radii, alloy concentration, dielectric-constant mismatch, and magnetic field intensity are found for the GaAs-Ga_(1-x)Al_(x)As-AlAs (or vacuum) system. 
Aram Manaselyan, Albert Kirakosyan