Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partially confined excitons in semiconductor nanocrystals with a finite
  size dielectric interface   The combined effect of finite potential barriers and dielectric mismatch
between dot and matrix on excitonic properties of semiconductor quantum dots
has been studied. To avoid the unphysical divergence in the self-polarization
energy which arises for the simplest and profusely adopted step-like model of
the dielectric interface, we proposed a realistic (finite size) smooth profile
for the dielectric interface. We have found that the excitonic binding energy
can be either higher than the corresponding one to complete confinement by
infinite barriers or essentially zero for a wide range of dot sizes depending
on the thickness of the dielectric interface.

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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: math
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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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: math-ph
32
The categories of this paper are: atom-ph