Fig. 3. The analysis of the e-ph matrix elements (ME).

a The q-resolved modulus square of spin-flip e-ph ME $\mid {\tilde{g}}^{\uparrow \downarrow }{\mid }^2\left(q\right)$ at a high temperature - 300 K with a part of or all phonon modes. b The same as a but for spin-conserving e-ph ME $\mid {\tilde{g}}^{\uparrow \uparrow }{\mid }^2\left(q\right)$. c $\overline{\mid {\tilde{g}}^{\uparrow \downarrow }{\mid }^2}$, $\overline{\mid {\tilde{g}}^{\uparrow \uparrow }{\mid }^2}$ and $\overline{\mid {\tilde{g}}^{\uparrow \downarrow }{\mid }^2}{D}^{\mathrm{S}}$ of conduction electrons as a function of carrier density at a low T - 10 K compared with the spin relaxation rates 1/τ_s. $\overline{\mid {\tilde{g}}^{\uparrow \downarrow }{\mid }^2}$ and $\overline{\mid {\tilde{g}}^{\uparrow \uparrow }{\mid }^2}$ are the T and μ_F,c dependent effective (averaged around the band edge or μ_F,c) modulus square of spin-flip and spin-conserving e-ph ME, respectively (see Eq. (12)). D^S is the scattering density of states (Eq. (15)). The vertical dashed line corresponding to μ_F,c at CBM.