Wurtzite Effects on Spin Splitting of GaN

We report the theoretical study of the wurtzite effects on spin-splitting of GaN within a third-neighbor Linear Combination of Atomic Orbitals (LCAO) model. For wurtzite structure, there are two intrinsic wurtzite effects which are band-folding effect and structure inversion asymmetry. The band-folding effect generates two conduction bands ($\Delta _{C1 }$and $\Delta _{C3})$, in which the $p$-wave probability and, consequently, the spin-splitting energy have abrupt changes when $k_{z}$ increases toward the anti-crossing zone. The wurtzite effects, in addition to Rashba and Dresselhaus effect, give significant contributions to the large spin-splitting in GaN/AlN quantum wells.