Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral gaps of Dirac operators describing graphene quantum dots   The two-dimensional Dirac operator describes low-energy excitations in
graphene. Different choices for the boundary conditions give rise to
qualitative differences in the spectrum of the resulting operator. For a family
of boundary conditions, we find a lower bound to the spectral gap around zero,
proportional to $|\Omega|^{-1/2}$, where $\Omega \subset \mathbb{R}^2$ is the
bounded region where the Dirac operator acts. This family contains the
so-called infinite mass and armchair cases used in the physics literature for
the description of graphene quantum dots.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph