Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding magnetic focusing in graphene $p$-$n$ junctions through
  quantum modeling   We present a quantum model which provides enhanced understanding of recent
transverse magnetic focusing experiments on graphene $p$-$n$ junctions.
Spatially resolved flow maps of local particle current density show quantum
interference and $p$-$n$ junction filtering effects which are crucial to
explaining the device operation. The Landauer-B\"{u}ttiker formula is used
alongside dephasing edge contacts to give exceptional agreement between
simulated non-local resistance and the recent experiment by Chen $\textit{et
al}$ ($\textit{Science}$, 2016). The origin of positive and negative focusing
resonances and off resonance characteristics are explained in terms of quantum
transmission functions. Our model also captures subtle features from
experiment, such as the previously unexplained $p$-$p^-$ to $p$-$p^+$
transition and the second $p$-$n$ focusing resonance.

28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con