Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hidden correlations of exciton complexes in self-assembled quantum dots
  and rings   The binding energies of trions ($X^+$, $X^-$) and biexciton (XX) in
self-assembled semiconductor quantum dots (QDs) are very sensitive to the
geometry and chemical composition of the QDs, and are random from dots to dots.
However, in this letter, we show through analytical and numerical methods that
the transition energies of the exciton complexes in self-assembled quantum dots
and rings follow a simple and robust rule, i.e., the sum of exciton and
biexciton transition energies minus the transition energies of trions is always
positive and almost a constant for the same type of quantum dots and rings as a
consequence of a pure Coulomb correlation effect. More interestingly, this
quantity show a sharp transition when the topology change from a dot to a ring.
This {\it hidden} correlation effect, directly measurable in experiments,
offers a useful way to understand the photoluminescence spectra of
self-assembled quantum dots and rings.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con