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Two-dimensional periodically driven systems can host an unconventionaltopological phase unattainable for equilibrium systems, termed the AnomalousFloquet-Anderson insulator (AFAI). The AFAI features a quasi-energy spectrumwith chiral edge modes and a fully localized bulk, leading to non-adiabatic butquantized charge pumping. Here, we show how such a Floquet phase can berealized in a driven, disordered Quantum Anomalous Hall insulator, which isassumed to have two critical energies where the localization length diverges,carrying states with opposite Chern numbers. Driving the system at a frequencyclose to resonance between these two energies localizes the critical states andannihilates the Chern bands, giving rise to an AFAI phase. We exemplify thisprinciple by studying a model for a driven, magnetically doped topologicalinsulator film, where the annihilation of the Chern bands and the formation ofthe AFAI phase is demonstrated using the rotating wave approximation. This iscomplemented by a scaling analysis of the localization length for two copies ofa quantum Hall network model with a tunable coupling between them. We find thatby tuning the frequency of the driving close to resonance, the driving strengthrequired to stabilize the AFAI phase can be made arbitrarily small.

Proposal for realizing anomalous Floquet insulators via Chern band annihilation