Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of Scale-Free Disorder on the Anderson Metal-Insulator
  Transition   We investigate the three-dimensional Anderson model of localization via a
modified transfer-matrix method in the presence of scale-free diagonal disorder
characterized by a disorder correlation function $g(r)$ decaying asymptotically
as $r^{-\alpha}$. We study the dependence of the localization-length exponent
$\nu$ on the correlation-strength exponent $\alpha$. % For fixed disorder $W$,
there is a critical $\alpha_{\rm c}$, such that for $\alpha < \alpha_{\rm c}$,
$\nu=2/\alpha$ and for $\alpha > \alpha_{\rm c}$, $\nu$ remains that of the
uncorrelated system in accordance with the extended Harris criterion. At the
band center, $\nu$ is independent of $\alpha$ but equal to that of the
uncorrelated system. The physical mechanisms leading to this different behavior
are discussed.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga