Fig. 4. The Landé g-factors of electrons and holes calculated at the PBE functional.

The external magnetic fields B^ext are along [110] direction. a The k-dependent g-factor ${\tilde{g}}_k$ (Eq. (8) and (9)) at k points around the band edges. Each data-point corresponds to a k point. b The global g-factor g^Ω = Ω/μ_BB as a function of n_c, where Ω is Larmor precession frequency extracted from spin dynamics at B^ext ≠ 0. $g^{\mathrm{\Omega }}=\pm ∣g^{\mathrm{\Omega }}∣$ if the excess/excited spin $\delta {\mathbf{S}}^{\mathrm{tot}}\left(t\right)$ precesses along ± $\delta {\mathbf{S}}^{\mathrm{tot}}\left(t\right)\times {\mathbf{B}}^{\mathrm{ext}}$. g^Ω is close to the averaged g-factor $\overline{\tilde{g}}$ defined in Eq. (10). c The effective amplitude of the fluctuation of g factors - $\mathrm{\Delta }\tilde{g}$ defined in Eq. (11) as a function of carrier density at 10 K.