Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Insensitivity of Quantized Hall Conductance to Disorder and Interactions   A two-dimensional quantum Hall system is studied for a wide class of
potentials including single-body random potentials and repulsive
electron-electron interactions. We assume that there exists a non-zero
excitation gap above the ground state(s), and then the conductance is derived
from the linear perturbation theory with a sufficiently weak electric field.
Under these two assumptions, we proved that the Hall conductance $\sigma_{xy}$
and the diagonal conductance $\sigma_{yy}$ satisfy
$|\sigma_{xy}+e^2\nu/h|\le{\rm const.}L^{-1/12}$ and $|\sigma_{yy}|\le{\rm
const.}L^{-1/12}$. Here $e^2/h$ is the universal conductance with the charge
$-e$ of electron and the Planck constant $h$; $\nu$ is the filling factor of
the Landau level, and $L$ is the linear dimension of the system. In the
thermodymanic limit, our results show $\sigma_{xy}=-e^2\nu/h$ and
$\sigma_{yy}=0$. The former implies that integral and fractional filling
factors $\nu$ with a gap lead to, respectively, integral and fractional
quantizations of the Hall conductance.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg