Abstract
The exciton Hamiltonian for a superlattice is derived using an envelope-function-type description on the scale of the period of the structure. The solutions obtained include new exciton states which may have considerable oscillator strength and correspond to the electron and hole located in separate periods. The effects of applied electric and magnetic fields along the growth axis are considered. In an electric field there can be a large blue shift of the main exciton strength as the miniband decouples into a Stark ladder. In a magnetic field, the new exciton states evolve into extra series of Landau levels not observable in isolated quantum wells.
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