Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum theory of the charge stability diagram of semiconductor double
  quantum dot systems   We complete our recently introduced theoretical framework treating the double
quantum dot system with a generalized form of Hubbard model. The effects of all
quantum parameters involved in our model on the charge stability diagram are
discussed in detail. A general formulation of the microscopic theory is
presented, and truncating at one orbital per site, we study the implication of
different choices of the model confinement potential on the Hubbard parameters
as well as the charge stability diagram. We calculate the charge stability
diagram keeping three orbitals per site and find that the effect of additional
higher-lying orbitals on the subspace with lowest-energy orbitals only can be
regarded as a small renormalization of Hubbard parameters, thereby justifying
our practice of keeping only the lowest-orbital in all other calculations. The
role of the harmonic oscillator frequency in the implementation of the Gaussian
model potential is discussed, and the effect of an external magnetic field is
identified to be similar to choosing a more localized electron wave function in
microscopic calculations. The full matrix form of the Hamiltonian including all
possible exchange terms, and several peculiar charge stability diagrams due to
unphysical parameters are presented in the appendix, thus emphasizing the
critical importance of a reliable microscopic model in obtaining the system
parameters defining the Hamiltonian.

2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an