The electronic structures of AlN and InN wurtzite nanowires

Abstract

We derive the relations between the analogous seven Luttinger-Kohn parameters and six Rashba-Sheka-Pikus parameters for wurtzite semiconductors, which can be used to investigate the electronic structures of some wurtzite semiconductors such as AlN and InN materials, including their low-dimensional structures. As an example, the electronic structures of AlN and InN nanowires are calculated by using the derived relations and six-band effective-mass k·p theory. Interestingly, it is found that the ground hole state of AlN nanowires is always a pure S state whether the radius R is small (1 nm) or large (6 nm), and the ground hole state only contains |Z〉 Bloch orbital component. Therefore, AlN nanowires is the ideal low-dimensional material for the production of purely linearly polarized π light, unlike ZnO nanowires, which emits plane-polarized σ light. However, the ground hole state of InN nanowires can be tuned from a pure S state to a mixed P state when the radius R is larger than 2.6 nm, which will make the polarized properties of the lowest optical transition changes from linearly polarized π light to plane-polarized σ light. Meanwhile, the valence band structures of InN nanowires will present strong band-crossings when the radius R increases to 6 nm, and through the detail analysis of possible transitions of InN nanowires at the Γ point, we find some of the neighbor optical transitions are almost degenerate, because the spin-orbit splitting energy of InN material is only 0.001 eV. Therefore, it is concluded that the electronic structures and optical properties of InN nanowires present great differences with that of AlN nanowires.