The anomalous Floquet Anderson insulator as a Laughlin charge pump*

Periodically driven systems can host analogues of equilibrium topological phases, like the Haldane phase, which obey the usual bulk-boundary correspondence. However, due to the periodic nature of the quasienergy spectrum, these systems can host anomalous topological phases where the bulk properties do not characterize the behaviour at the edges. Further, adding disorder can lead to complete localization of the bulk states while supporting topological charge pumping - a signature of the anomalous Floquet Anderson insulator (AFAI) phase. Working with the experimentally realized model reported in Wintersperger et. al. Nat. Phys. 16, 1058–1063 (2020), we establish the presence of the AFAI phase and study its transition to the Anderson insulating phase. We calculate charge pumping in a Laughlin charge pump setup and discuss issues relevant for experimental realization.