Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization-delocalization transition in one-dimensional electron
  systems with long-range correlated disorder   We investigate localization properties of electron eigenstates in
one-dimensional (1d) systems with long-range correlated diagonal disorder.
Numerical studies on the localization length $\xi$ of eigenstates demonstrate
the existence of the localization-delocalization transition in 1d systems and
elucidate non-trivial behavior of $\xi$ as a function of the disorder strength.
The critical exponent $\nu$ for localization length is extracted for various
values of parameters characterizing the disorder, revealing that every $\nu$
disobeys the Harris criterion $\nu > 2/d$.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: physics