Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anderson localization: 2-D system in an external magnetic field   The analytical approach developed by us for the calculation of the phase
diagram for the Anderson localization via disorder [J.Phys.: Condens. Matter
14, 13777 (2002)] is generalized here to the case of a strong magnetic field
when $q$ subbands ($q=1,2,3$) arise. It is shown that in a line with the
generally accepted point of view, each subband is characterized by a critical
point with a divergent localization length $\xi$ which reveals anomaly in
energy and disorder parameters. These critical points belong to the phase
coexistence area which cannot be interpreted by means of numerical
investigations. The reason for this is a logical incompleteness of the
algorithm used for analysis of a computer modelling for finite systems in the
parameter range where the finite-size scaling is no longer valid.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat