Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical solutions of the two-dimensional Dirac equation for a
  topological channel intersection   Numerical simulations in a tight-binding model have shown that an
intersection of topologically protected one-dimensional chiral channels can
function as a beam splitter for non-interacting fermions on a two-dimensional
lattice \cite{Qiao2011,Qiao2014}. Here we confirm this result analytically in
the corresponding continuum $\mathbf{k}\cdot\mathbf{p}$ model, by solving the
associated two-dimensional Dirac equation, in the presence of a `checkerboard'
potential that provides a right-angled intersection between two zero-line
modes. The method by which we obtain our analytical solutions is systematic and
potentially generalizable to similar problems involving intersections of
one-dimensional systems.

17
The categories of this paper are: q-fin
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph