Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Designing multi-directional energy-splitters and topological valley
  supernetworks   Using group theoretic and topological concepts, together with tunneling
phenomena, we geometrically design interfacial wave networks that contain
splitters which partition energy in 2, 3, 4 or 5 directions. This enriches the
valleytronics literature that has, so far, been limited to 2-directional
splitters. Additionally, we describe a design paradigm that gives greater
detail, about the relative transmission along outgoing leads, away from a
junction; previously only the negligible transmission leads were predictable.
We utilise semi-analytic numerical simulations, as opposed to finite element
methods, to clearly illustrate all of these features with highly resolved edge
states. As a consequence of this theory, novel networks, with directionality
tunable by geometry, ideal for applications such as beam-splitters, switches
and filters are created. Coupling these novel networks, that contain
multi-directional energy-splitters, culminates in the first realization of a
topological supernetwork.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an