Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-local corrections to the typical medium theory of Anderson
  localization   We use the recently developed finite cluster typical medium approach to study
the Anderson localization transition in three dimensions. Applying our method
to the box and binary alloy disorder distributions, we find a fast convergence
with the cluster size. We demonstrate the importance of the typical medium
environment and the non-local spatial correlations for the proper
characterization of the localization transition. As the cluster size increases,
our typical medium cluster method recovers the correct critical disorder
strength for the transition. Our findings highlight the importance of the
non-local cluster corrections for capturing the localization behavior of the
mobility edge trajectories. Our results demonstrate that the typical medium
cluster approach developed here provides a consistent and systematic
description of the Anderson localization transition in the framework of the
effective medium embedding schemes.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics