Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Range-Dependent Disorder Effects on the Plateau-Widths Calculated within
  the Screening Theory of the Iqhe   We summarize the screening theory of the integer quantized Hall effect (IQHE)
and emphasize its two key mechanisms: first, the existence, in certain magnetic
field intervals, of incompressible strips, with integer values of the local
filling factor and quantized values of longitudinal and Hall resistivity, and
second, the confinement of an imposed dissipative current to these strips,
leading to the quantization of the global resistances. We demonstrate that,
without any localization assumption, this theory explains the enormous
experimental reproducibility of the quantized resistance values, as well as
experimental results on the potential distribution in narrow Hall bars. We
further demonstrate that inclusion of long-range potential fluctuations allows
to apply the theory to wider Hall bars, and can lead to a broadening of the
quantum Hall plateaus, whereas short-range disorder tends to narrow the
plateaus.

2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc