Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electrostatic confinement of electrons in an integrable graphene quantum
  dot   We compare the conductance of an undoped graphene sheet with a small region
subject to an electrostatic gate potential for the cases that the dynamics in
the gated region is regular (disc-shaped region) and classically chaotic
(stadium). For the disc, we find sharp resonances that narrow upon reducing the
area fraction of the gated region. We relate this observation to the existence
of confined electronic states. For the stadium, the conductance looses its
dependence on the gate voltage upon reducing the area fraction of the gated
region, which signals the lack of confinement of Dirac quasiparticles in a
gated region with chaotic classical electron dynamics.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin