The topological response of 2D chiral Floquet drives is a Schwinger-Keldysh theta term with coefficient Θ(α) = π(1 - tanh(α/2)), quantized by particle-hole symmetry.
Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
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abstract
We uncover a new family of few-body topological phases in periodically driven fermionic systems in two dimensions. These phases, which we term correlation-induced anomalous Floquet insulators (CIAFIs), are characterized by quantized contributions to the bulk magnetization from multi-particle correlations, and are classified by a family of integer-valued topological invariants. The CIAFI phases do not require many-body localization, but arise in the generic situation of k-particle localization, where the system is localized (due to disorder) for any finite number of particles up to a maximum number, k. We moreover show that, when fully many-body localized, periodically driven systems of interacting fermions in two dimensions are characterized by a quantized magnetization in the bulk, thus confirming the quantization of magnetization of the anomalous Floquet insulator. We demonstrate our results with numerical simulations.
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Effective response theory for Floquet topological systems
The topological response of 2D chiral Floquet drives is a Schwinger-Keldysh theta term with coefficient Θ(α) = π(1 - tanh(α/2)), quantized by particle-hole symmetry.