ABSTRACT

The effects of a very strong spin-orbit (SO) split-off band coupling on the valence-band structure and the optical gain of a 100Å cubic GaN quantum-well are studied within the 6×6 Luttinger-Kohn model. A semi-empirical five level k·p model is used to calculate the Luttinger valence-band parameters γ1, γ2, and γ3 for a cubic phase of GaN. Calculated results show that the subbands originated from the “light hole,” and the "spin-orbit" are strongly coupled even at the zone center because of the very narrow spin-orbit spht off energy. It is found that the optical gains for the TE and the TM polarizations have comparable magnitudes over the wide range of carrier densities and are smaller than the gain calculated using the parabolic model.