Theory of heavy-hole magnetoexcitons in GaAs-(Al,Ga)As quantum-well heterostructures

Abstract

The energy shifts of the ground and ``s-like'' excited states of the heavy-hole exciton in a modest magnetic field (4 T) normal to an impenetrable quantum well are calculated by direct numerical integration of the appropriate Schr\"odinger equation. Good agreement with experiment is obtained for the diamagnetic shift of the heavy-hole exciton for well widths in the range 50--100 A\r{}.