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

Frederik Nathan, Dmitry A. Abanin, Netanel H. Lindner, Erez Berg, Mark S. Rudner

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Article number128
JournalSciPost Physics
Issue number6
StatePublished - 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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