Spin textures and Larmor precession of holes modulated by the spin-orbit coupling confined in the two-dimensional Si Ge mixed-alloy quantum well system.

We theoretically study the spin textures of holes confined in the two-dimensional (2D) [Formula: see text] quantum well (QW) system. We particularly focus on the spin-orbit interaction (SOI) caused by the bulk-inversion-asymmetry (BIA) and explore the effective magnetic field (EMF) generated by the combination of the SOI couplings. For the study of the semiconductor mixed-alloy (MA) system, we propose the extended [Formula: see text] perturbation approach including possible perturbation terms crossing with the SOI couplings up to the second order ones.