Disorder-induced quantized pumping in a Floquet topological phase

Lunch served at 12:00

In this talk, we show that two-dimensional periodically driven quantum systems with spatial disorder admit a unique topological phase. This phase is characterized by a quasi-energy spectrum featuring chiral edge modes coexisting with a fully localized bulk. Such a spectrum is impossible for a time-independent, local Hamiltonian. These unique characteristics give rise to a new topologically protected non-equilibrium transport phenomenon: quantized, yet non-adiabatic, charge pumping. This phase is separated from a trivial Anderson insulating phase by a phase transition.