Theory of non-polar and semi-polar nitride semiconductor quantum-well structures

We investigate the electronic and optical properties of non-polar a-and m-planes and semi-polar InGaN-GaN quantum-well structures using the multiband effective-mass theory taking into account the many-body effects. These results are compared with those of ( 0 0 0 1) oriented c-plane wurtzite InGaN-GaN quantum wells. We derive explicitly the valence-band Hamiltonian and interband optical matrix elements with polarization dependence for an arbitrary crystal polar angle theta and an azimuthal angle phi. The average hole effective masses of the topmost valence band along the wave vector perpendicular to the crystal orientation for the non-polar and semi-polar cases are substantially lower than that of the c-plane case. It is found that the azimuthal angle phi does not change the shape of the band structure but shifts the sub-band position. Thus the transition energy will be dependent on both the polar angle theta and the azimuthal angle phi. It is expected that the optical matrix elements are strongly anisotropic and optical gain would be larger for the non-polar and semi-polar cases because of the vanishing of the internal electric fields.