Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-complex transition driven by quasiperiodicity: a new universality
  class beyond $\mathcal{PT}$ symmetric one   We study a one-dimensional lattice model subject to non-Hermitian
quasiperiodic potentials. Firstly, we strictly demonstrate that there exists an
interesting dual mapping relation between $|a|<1$ and $|a|>1$ with regard to
the potential tuning parameter $a$. The localization property of $|a|<1$ can be
directly mapping to that of $|a|>1$, the analytical expression of the mobility
edge of $|a|>1$ is therefore obtained through spectral properties of $|a|<1$.
More impressive, we prove rigorously that even if the phase $\theta \neq 0$ in
quasiperiodic potentials, the model becomes non-$\mathcal{PT}$ symmetric,
however, there still exists a new type of real-complex transition driven by
non-Hermitian disorder, which is a new universality class beyond $\mathcal{PT}$
symmetric class.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
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
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph