Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plunging in the Dirac sea using graphene quantum dots   The dynamics of low energy charge carriers in a graphene quantum dot
subjected to a time-dependent local field is investigated numerically. In
particular, we study a configuration where a Coulomb electric field is provided
by an ion traversing the graphene sample. A Galerkin-like numerical scheme is
introduced to solve the massless Dirac equation describing charge carriers
subjected to space- and time-dependent electromagnetic potentials and is used
to evaluate the field induced interband transitions. It is demonstrated that as
the ion goes through graphene, electron-hole pairs are generated dynamically
via the adiabatic pair creation mechanism around avoided crossings, similar to
electron-positron pair generation in low energy heavy ion collisions.

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The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci