Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Anderson insulators in two-dimensional non-Hermitian
  disordered systems   The interplay among topology, disorder, and non-Hermiticity can induce some
exotic topological and localization phenomena. Here we investigate this
interplay in a two-dimensional non-Hermitian disordered Chern-insulator model
with two typical kinds of non-Hermiticities, the nonreciprocal hopping and
on-site gain-and-loss effects. The topological phase diagrams are obtained by
numerically calculating two topological invariants in the real space, which are
the disorder-averaged open-bulk Chern number and the generalized Bott index,
respectively. We reveal that the nonreciprocal hopping (the gain-and-loss
effect) can enlarge (reduce) the topological regions and the topological
Anderson insulators induced by disorders can exist under both kinds of
non-Hermiticities. Furthermore, we study the localization properties of the
system in the topologically nontrivial and trivial regions by using the inverse
participation ratio and the expansion of single particle density distribution.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
16
The categories of this paper are: stat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg