Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-consistent study of Anderson localization in the Anderson-Hubbard
  model in two and three dimensions   We consider the change in electron localization due to the presence of
electron-electron repulsion in the \HA model. Taking into account local
Mott-Hubbard physics and static screening of the disorder potential, the system
is mapped onto an effective single-particle Anderson model, which is studied
within the self-consistent theory of electron localization. We find rich
nonmonotonic behavior of the localization length $\xi$ in two-dimensional
systems, including an interaction-induced exponential enhancement of $\xi$ for
small and intermediate disorders although $\xi$ remains finite. In three
dimensions we identify for half filling a Mott-Hubbard-assisted Anderson
localized phase existing between the metallic and the Mott-Hubbard-gapped
phases. For small $U$ there is re-entrant behavior from the Anderson localized
phase to the metallic phase.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex