Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchy of many-body invariants and quantized magnetization in
  anomalous Floquet insulators   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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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat