Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators

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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Cited by in corpus (11)

• Topological frequency conversion in Weyl semimetals
• Quantized Floquet topology with temporal noise
• Geometric Floquet theory
• Gauging anomalous unitary operators
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Measurement Induced Chirality II: Diffusion and Disorder
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Floquet dynamical chiral spin liquid at finite frequency
• Orbital magnetization of Floquet topological systems
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Engineering micromotion in Floquet prethermalization via space-time symmetries