Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Guided modes and terahertz transitions for two-dimensional Dirac
  fermions in a smooth double-well potential   The double-well problem for the two-dimensional Dirac equation is solved for
a family of quasi-one-dimensional potentials in terms of confluent Heun
functions. We demonstrate that for a double well separated by a barrier, both
the energy level splitting associated with the wavefunction overlap of well
states, and the gap size of the avoided crossings associated with well and
barrier state repulsion, can be controlled via the parameters of the potential.
The transitions between the two states comprising a doublet, as well as
transitions across the pseudo-gaps are strongly allowed, highly anisotropic,
and for realistic graphene devices can be tuned to fall within the highly
desirable terahertz frequency range.

7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat