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Quantized Magnetization Density in Periodically Driven Systems

Quantized Magnetization Density in Periodically Driven Systems

We study micromotion in two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We show that this micromotion gives rise to a quantized time-averaged orbital magnetization density in any region completely filled with fermions. The quantization of magnetization density has a topological origin, and reveals …