Optical transitions in semiconductor superlattices with zinc-blende structure in the kap approximation

Transition-matrix elements for superlattices consisting of materials with the zinc-blende structure are presented in analytical form in the kp approximation including the 6, 7, and 8 bands. The resulting selection rules for cases where the magnetic field is absent, and where the magnetic field is applied perpendicular to the superlattice layers, are discussed. The results can be used for type-I, -II, and -III superlattices. They can also be used for other systems, such as a single quantum well.