Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly Disordered Floquet Topological Systems   We study the strong disorder regime of Floquet topological systems in
dimension two, that describe independent electrons on a lattice subject to a
periodic driving. In the spectrum of the Floquet propagator we assume the
existence of an interval in which all states are localized--a mobility gap.
First we generalize the relative construction from spectral to mobility gap,
define a bulk index for an infinite sample and an edge index for the
half-infinite one and prove the bulk-edge correspondence. Second, we consider
completely localized systems where the mobility gap is the whole circle, and
define alternative bulk and edge indices that circumvent the relative
construction and match with quantized magnetization and pumping observables
from the physics literature. Finally, we show that any system with a mobility
gap can be reduced to a completely localized one. All the indices defined
throughout are equal.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org