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.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Niels Bohr Institute [NBI]
- 2 Université de Genève / University of Geneva [UNIGE]
- 3 הטכניון – מכון טכנולוגי לישראל / Technion – Israel Institute of Technology
- 4 Weizmann Institute of Science
- 5 University of Chicago [UC]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- Horizon 2020 (through Organization: European Commission [EC])
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung / Swiss National Science Foundation [SNF]
- Villum Fonden / Velux Foundation