Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of a two-level artificial molecule in laterally coupled quantum
  Hall droplets   We present a theory of laterally coupled quantum Hall droplets with electron
numbers (N1,N2) at filling factor $\nu=2$. We show that the edge states of each
droplet are tunnel coupled and form a two-level artificial molecule. By
populating the edge states with one electron each a two electron molecule is
formed. We predict the singlet-triplet transitions of the effective
two-electron molecule as a function of the magnetic field, the number of
electrons, and confining potential using the configuration interaction method
(CI) coupled with the unrestricted Hartree-Fock (URHF) basis. In addition to
the singlet-triplet transitions of a 2 electron molecule involving edge states,
triplet transitions involving transfer of electrons to the center of individual
dots exist for $(N1 \geq 5, N2 \geq 5)$.

2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an