The Lande factors of electrons and holes in lead halide perovskites: universal dependence on the band gap

The Lande or g-factors of charge carriers are decisive for the spin-dependent phenomena in solids and provide also information about the underlying electronic band structure. We present a comprehensive set of experimental data for values and anisotropies of the electron and hole Lande factors in hybrid organic-inorganic (MAPbI(3), MAPb(Br0.5Cl0.5)(3), MAPb(Br0.05Cl0.95)(3), FAPbBr(3), FA(0.9)Cs(0.1)PbI(2.8)Br(0.2), MA=methylammonium and FA=formamidinium) and all-inorganic (CsPbBr3) lead halide perovskites, determined by pump-probe Kerr rotation and spin-flip Raman scattering in magnetic fields up to 10 T at cryogenic temperatures. Further, we use first-principles density functional theory (DFT) calculations in combination with tight-binding and k center dot p approaches to calculate microscopically the Lande factors. The results demonstrate their universal dependence on the band gap energy across the different perovskite material classes, which can be summarized in a universal semi-phenomenological expression, in good agreement with experiment.