EFFECTS OF ELECTRIC AND MAGNETIC-FIELDS ON CONFINED DONOR STATES IN ADIELECTRIC QUANTUM-WELL

We have developed a variational formalism for the calculation of the b inding energies of hydrogenic donors in the so-called ''dielectric qua ntum wells,'' where the dielectric constant of the barrier material is significantly smaller than that of the well material, in the presence of magnetic and electric fields applied along the growth axis. We der ive an expression for the anisotropic electron-donor-ion interaction p otential analytically by solving the Poisson equation in the layered g eometry of quantum-well structures. Binding energies of the Is and 2p states are then calculated using the Gaussian-type orbital expansion m ethod. Effects of the applied electric field, magnetic field, and the interfacial dielectric-constant mismatch on the binding energies of do nor states are studied in detail.