Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudo-gap and Localization of Light in Correlated Disordered Media   Among the remarkable scattering properties of correlated disordered
materials, the origin of pseudo-gaps and the formation of localized states are
some of the most puzzling features. Fundamental differences between scalar and
vector waves in both these aspects make their comprehension even more
problematic. Here we present an in-depth and comprehensive analysis of the
order-to-disorder transition in 2D resonant systems. We show with exact ab
initio numerical simulations in hyperuniform media that localization of 2D
vector waves can occur in the presence of correlated disorder, in a regime of
moderate density of scatterers. On the contrary, no signature of localization
is found for white noise disorder. This is in striking contrast with scalar
waves which localize at high density whatever the amount of correlation. For
correlated materials, localization is associated with the formation of
pseudo-gap in the density of states. We develop two complementary models to
explain these observations. The first one uses an effective photonic
crystal-type framework and the second relies on a diagrammatic treatment of the
multiple scattering sequences. We provide explicit theoretical evaluations of
the density of states and localization length in good agreement with numerical
simulations. In this way, we identify the microscopic processes at the origin
of pseudo-gap formation and clarify the role of the density of states for wave
localization in resonant correlated systems.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg