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Scientific article
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English

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

Published inSciPost physics, vol. 10, no. 6, 128
Publication date2021-06-03
First online date2021-06-03
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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Funding
  • European Commission - Probing topology and dynamics in driven quantum many-body systems [678862]
  • European Commission - Expanding the Topological Frontier in Quantum Matter: from Concepts to Future Applications [639172]
Citation (ISO format)
NATHAN, Frederik et al. Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators. In: SciPost physics, 2021, vol. 10, n° 6, p. 128. doi: 10.21468/SciPostPhys.10.6.128
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ISSN of the journal2542-4653
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