Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical topological Anderson insulator   Two-dimensional topological insulators (TI) feature robust metallic edges
with quantized conductance protected by an insulating bulk gap. Strong
disorder, however, eventually drives the system to the trivial Anderson
insulator (AI), suppressing edge conductance. We study the nature of this
transition and establish it as happening through a distinct phase called the
critical topological insulator (CTI). Scaling behavior with increasing system
size can distinguish these three phases with the longitudinal conductance of
the TI/CTI phase converging exponentially/polynomially to the quantized value,
while the conductance manifest in the exponential AI phase showing no size
dependence. We claim analytically this observation using the self-consistent
Born approximation. In particular, we associate the boundary between these
phases with the imaginary part of the effective self-energy, introducing an
analytical tool to predict various aspects of the disorder-topology interplay.
We use our analytical theory, supported by direct numerical simulations, to
study the effect of disorder range on the topological Anderson insulator.
Interestingly, while this phase is quite generic for uncorrelated or
short-range disorder, it is strongly suppressed by long-range disorder, perhaps
explaining why it has never been seen in solid state systems.

13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin