Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathcal{L}^2$ localization landscape for highly-excited states   The localization landscape gives direct access to the localization of
bottom-of-band eigenstates in non-interacting disordered systems. We generalize
this approach to eigenstates at arbitrary energies in systems with or without
internal degrees of freedom by introducing a modified
$\mathcal{L}^2$-landscape, and we demonstrate its accuracy in a variety of
archetypal models of Anderson localization in one and two dimensions. This
$\mathcal{L}^2$-landscape function can be efficiently computed using
hierarchical methods that allow evaluating the diagonal of a well-chosen Green
function. We compare our approach to other landscape methods, bringing new
insights on their strengths and limitations. Our approach is general and can in
principle be applied to both studies of topological Anderson transitions and
many-body localization.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc