Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak and Strong Localization in Low-Dimensional Semiconductor Structures   The dependence of the localization length on the number of occupied subbands
$N$ in low-dimensional semiconductors is investigated. The localization length
is shown to be proportional to the number of occupied subbands in
quasi-one-dimensional quantum wires while it grows exponentially with $N$ in
quasi-two-dimensional systems. Also a weak localization theory is developed for
large N with a well-defined small expansion parameter $1/N$. The temperature
dependence of the conductivity deduced using this perturbation theory agrees
with the experimentally observed dependence.

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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph