SIMPLE TRIAL FUNCTION FOR SHALLOW DONOR D-0 STATES IN GAAS-GA1-XALXAS QUANTUM-WELL STRUCTURES

A three-nonlinear-parameters trial variational function is proposed for the ground and first excited states of a hydrogenic donor at the center and off center in the GaAs quantum well in a magnetic field. Binding energies are in very good agreement with recent effective-mass calculations for the intermediate-width well and there are more accurate results in narrow wells approximating asymptotically to exact ones (L0). Results are improved for ground and low-lying excited states, with or without an applied magnetic field in all cases, as the barrier well approaches the impurity center. © 1995 The American Physical Society.