Fig. 3: The analysis of the e-ph matrix elements (ME).
From: How spin relaxes and dephases in bulk halide perovskites
a The q-resolved modulus square of spin-flip e-ph ME \(| {\widetilde{g}}^{\uparrow \downarrow }{| }^{2}\left(q\right)\) 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 \(| {\widetilde{g}}^{\uparrow \uparrow }{| }^{2}\left(q\right)\). c \(\overline{| {\widetilde{g}}^{\uparrow \downarrow }{| }^{2}}\), \(\overline{| {\widetilde{g}}^{\uparrow \uparrow }{| }^{2}}\) and \(\overline{| {\widetilde{g}}^{\uparrow \downarrow }{| }^{2}}{D}^{{{{{{{{\rm{S}}}}}}}}}\) of conduction electrons as a function of carrier density at a low T - 10 K compared with the spin relaxation rates 1/τs. \(\overline{| {\widetilde{g}}^{\uparrow \downarrow }{| }^{2}}\) and \(\overline{| {\widetilde{g}}^{\uparrow \uparrow }{| }^{2}}\) are the T and μF,c dependent effective (averaged around the band edge or μF,c) modulus square of spin-flip and spin-conserving e-ph ME, respectively (see Eq. (12)). DS is the scattering density of states (Eq. (15)). The vertical dashed line corresponding to μF,c at CBM.
