Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing wave functions in graphene nanodevices: electronic
  transport through ultrashort graphene constrictions on a boron nitride
  substrate   We present electronic transport measurements through short and narrow (30x30
nm) single layer graphene constrictions on a hexagonal boron nitride substrate.
While the general observation of Coulomb-blockade is compatible with earlier
work, the details are not: we show that the area on which charge is localized
can be significantly larger than the area of the constriction, suggesting that
the localized states responsible for Coulomb-blockade leak out into the
graphene bulk. The high bulk mobility of graphene on hexagonal boron nitride,
however, seems not consistent with the short bulk localization length required
to see Coulomb-blockade. To explain these findings, charge must instead be
primarily localized along the imperfect edges of the devices and extend along
the edge outside of the constriction. In order to better understand the
mechanisms, we compare the experimental findings with tight-binding simulations
of such constrictions with disordered edges. Finally we discuss previous
experiments in the light of these new findings.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin