Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trivial and topological bound states in bilayer graphene quantum dots
  and rings   We discuss and compare two different types of confinement in bilayer graphene
by top and bottom gating with symmetrical microelectrodes. Trivial confinement
corresponds to the same polarity of all top gates, which is opposed to that of
all bottom ones. Topological confinement requires the polarity of part of the
top-bottom pairs of gates to be reversed. We show that the main qualitative
difference between trivial and topological bound states manifests itself in the
magnetic field dependence. We illustrate our finding with an explicit
calculation of the energy spectrum for quantum dots and rings. Trivial
confinement shows bunching of levels into degenerate Landau bands, with a
non-centered gap, while topological confinement shows no field-induced gap and
a sequence of state branches always crossing zero-energy.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th