Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Current distribution in Hall bars and breakdown of the quantum Hall
  effect   A numerical study is made of current distribution in small Hall bars with
disorder. It is observed, in particular, that in the Hall-plateau regime the
Hall current tends to concentrate near the sample edges while it diminishes on
average in the sample interior as a consequence of localization. Also reported
is another numerical experiment on a related, but rather independent topic, the
breakdown of the quantum Hall effect. It is pointed out that the competition of
the Hall field with disorder in the sample interior, an intra-subband process,
can account for both the magnitude and magnetic-field dependence (proportional
to B^{3/2}) of the critical breakdown fields observed experimentally.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an