NONVARIATIONAL NUMERICAL-CALCULATIONS OF EXCITONIC PROPERTIES IN QUANTUM-WELLS IN THE PRESENCE OF STRAIN, ELECTRIC-FIELDS, AND FREE-CARRIERS

In this paper we describe the properties of effective-mass excitons in quantum wells in the presence of strain, transverse electric fields, and free carriers using a nonvariational numerical technique. The technique allows us to avoid the use of a prechosen form for the excitonic wave function and can be applied to arbitrarily shaped quantum wells with external perturbations. We describe the valence band within the effective-mass approximation using a 4×4 kp Hamiltonian which neglects the split-off band; the conduction band is assumed to be parabolic. Results are presented for exciton binding energies, wave functions, and oscillator strengths. © 1990 The American Physical Society.