Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Manipulating quantum Hall edge channels in graphene through Scanning
  Gate Microscopy   We show evidence of the backscattering of quantum Hall edge channels in a
narrow graphene Hall bar, induced by the gating effect of the conducting tip of
a Scanning Gate Microscope, which we can position with nanometer precision. We
show full control over the edge channels and are able, due to the spatial
variation of the tip potential, to separate co-propagating edge channels in the
Hall bar, creating junctions between regions of different charge carrier
density, that have not been observed in devices based on top- or split-gates.
The solution of the corresponding quantum scattering problem is presented to
substantiate these results, and possible follow-up experiments are discussed.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th