English

Designing multi-directional energy-splitters and topological valley supernetworks

Mesoscale and Nanoscale Physics 2018-12-19 v3 Classical Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1806.03631,
  title  = {Designing multi-directional energy-splitters and topological valley supernetworks},
  author = {Mehul Makwana and Richard Craster},
  journal= {arXiv preprint arXiv:1806.03631},
  year   = {2018}
}