Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disorder and Integral Quantum Hall Effect   The quantum Hall conductance of a disordered two-dimensional gas of
non-interacting electrons is re-examined for its integrity against disorder in
the limit of no mixing between different Landau levels. The exact one-electron
eigenstates of the disordered system are shown to be current carrying, with
exactly the same Hall current as in the absence of disorder. There are no
localized states. Accordingly, each extensively degenerate Landau level, now
broadened out by the disorder, continues to contribute exactly one quantum of
Hall conductance ($e^2/2\pi\hbar$). In the absence of any localized
(non-current carrying) states, the Hall plateaus can now arise only through an
actual gap in the density of states separating the broadened Landau levels.
Implications for 2D localization are discussed.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph