ENERGY-LEVELS OF A HYDROGENIC IMPURITY IN GAAS GA1-XALXAS MULTIPLE-QUANTUM-WELL STRUCTURES WITH NARROW BARRIERS IN A MAGNETIC-FIELD

A variational approach employing Gaussian-type trial wave functions an d mixing of miniband states has been used to calculate the binding ene rgies of the ground and first excited states of a hydrogenic donor in multiple-quantum-well structures consisting of a varying number of GaA s quantum wells separated by thin Ga1-xAlxAs barriers with periodiciti es of 89 angstrom (80-angstrom well and 9-angstrom barrier) and 49 ang strom (40-angstrom well and 9-angstrom barrier). The dependence of the binding energies on two different positions (on center and on edge of the central well) was investigated. It was found that the binding ene rgies did not change in any significant way beyond 15 periods for eith er of the structures investigated at zero magnetic field. Calculations were also performed for superlattice structures with 15 periods in th e presence of a magnetic field applied perpendicular to the interfaces . Results have been compared with recent experimental measurements for donor transition energies in GaAs/Ga0.7Al0.3As superlattices. Very go od agreement is obtained.