Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Localization-Delocalization Transition in Quantum Dots   Single-electron capacitance spectroscopy precisely measures the energies
required to add individual electrons to a quantum dot. The spatial extent of
electronic wavefunctions is probed by investigating the dependence of these
energies on changes in the dot confining potential. For low electron densities,
electrons occupy distinct spatial sites localized within the dot. At higher
densities, the electrons become delocalized, and all wavefunctions are spread
over the full dot area. Near the delocalization transition, the last remaining
localized states exist at the perimeter of the dot. Unexpectedly, these
electrons appear to bind with electrons in the dot center.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th