Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Aubry-Andr\'e self-duality and Mobility edges in
  non-Hermitian quasi-periodic lattices   We demonstrate the existence of generalized Aubry-Andr\'e self-duality in a
class of non-Hermitian quasi-periodic lattices with complex potentials. From
the self-duality relations, the analytical expression of mobility edges is
derived. Compared to Hermitian systems, mobility edges in non-Hermitian ones
not only separate localized from extended states, but also indicate the
coexistence of complex and real eigenenergies, making it possible a topological
characterization of mobility edges. An experimental scheme, based on optical
pulse propagation in synthetic photonic mesh lattices, is suggested to
implement a non-Hermitian quasi-crystal displaying mobility edges.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph