SELF-CONSISTENT CALCULATION OF LANDAU-LEVELS OF A QUASI-2-DIMENSIONALHOLE GAS AT A GAAS ALGAAS P-TYPE HETEROJUNCTION/

An efficient method is proposed for the self-consistent calculation of Landau levels of a quasi-two-dimensional hole gas at a GaAs/AlGaAs he terostructure in a perpendicular magnetic field. The method is based o n transforming the Schroedinger and Poisson equations to a system of n onlinear differential equations which are then spatially discretized a nd solved by the method of relaxation. The method proposed is used to model the optical spectra for recombination of the quasi-two-dimension al hole gas with electrons localized at: a delta layer of donors in an isolated p-type heterojunction. Particular attention is paid to effec ts associated with the dependence of the wave functions and shape of t he potential well on the magnetic field, which have not been considere d before. (C) 1998 American Institute of Physics.