Theory for the anomalous Hall constant of mixed-valence systems

We show that the large anomalous Hall constants of mixed-valence and Kondo-lattice systems can be understood in terms of a simple resonant-level Fermi-liquid model. Splitting of a narrow, orbitally unquenched, spin-orbit split, f resonance in a magnetic field leads to strong skew scattering of band electrons. We interpret both the anomalous signs and the strong temperature dependence of Hall mobilities in ${\mathrm{CeCu}}_2$ ${\mathrm{Si}}_2$, ${\mathrm{SmB}}_6$, and ${\mathrm{CePd}}_3$ in terms of this theory.