Spin splitting and anomalous Hall resistivity in three-dimensional disordered systems

Abstract

We comment on recently observed oscillations of the Hall resistivity around the classical value with particular emphasis on the coexistence of localized and extended states in the case of a spin-split lowest Landau level. We prove the existence of localization at the bottom of the 0\ensuremath{\downarrow} level thus explaining the observed plateaulike feature of the Hall resistivity.