Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of carrier density in multigated doped graphene sheets with
  quantum correction   The quantum capacitance model is applied to obtain an exact solution for the
space-resolved carrier density in a multigated doped graphene sheet at zero
temperature, with quantum correction arising from the finite electron capacity
of the graphene itself taken into account. The exact solution is demonstrated
to be equivalent to the self-consistent Poisson-Dirac iteration method by
showing an illustrative example, where multiple gates with irregular shapes and
a nonuniform dopant concentration are considered. The solution therefore
provides a fast and accurate way to compute spatially varying carrier density,
on-site electric potential energy, as well as quantum capacitance for bulk
graphene, allowing for any kind of gating geometry with any number of gates and
any types of intrinsic doping.

10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
2
The categories of this paper are: math