Designing multi-directional energy-splitters and topological valley supernetworks

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.

References in corpus (33)

• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Scheme to Achieve Silicon Topological Photonics
• Spintronics and Pseudospintronics in Graphene and Topological Insulators
• Observation of topological valley transport of sound in sonic crystals
• Strong suppression of weak (anti)localization in graphene
• All-Si Valley-Hall Photonic Topological Insulator
• Defect scattering in graphene
• Topologically-protected refraction of robust kink states in valley photonic crystals
• The Zak phase and the existence of edge states in graphene
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Direct Observation of Valley-polarized Topological Edge States in Designer Surface Plasmon Crystals
• Valley Vortex States in Sonic Crystals
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Valley-contrasting orbital angular momentum in photonic valley crystals
• Valley-protected backscattering suppression in silicon photonic graphene
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Pseudospin-valley coupled edge states in a photonic topological insulator
• Topological phononic insulator with robustly pseudospin-dependent transport
• Observation of Acoustic Valley Vortex States and Valley-Chirality Locked Beam Splitting
• Topological Kirchhoff Law and Bulk-Edge Correspondence for Valley-Chern and Spin-Valley-Chern Numbers
• Tunable light flow control in valley photonic crystal waveguide
• Current partition at topological zero-line intersections
• Theory and Experimental Investigation of the Quantum Valley Hall Effect
• Multi Weyl Points and the Sign Change of Their Topological Charges in Woodpile Photonic Crystals
• Single-Valley Engineering in Graphene Superlattices
• Observation of topological edge states of sound at a momentum away from the high-symmetry point
• Active Valley-topological Plasmonic Crystal in Metagate-tuned Graphene
• The role of geometry and topological defects in the 1D zero-line modes of graphene
• Semi-infinite herringbone waveguides in elastic plates
• Experimental demonstration of valley-Hall topological photonic crystal at telecommunication wavelengths

Cited by in corpus (19)

• Topological rainbow trapping for elastic energy harvesting in graded SSH systems
• Hybrid topological photonic crystals
• Novel topological beam-splitting in photonic crystals
• Coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with $C_{3v}$ symmetry
• Valley-Hall In-Plane Edge States as Building Blocks for Elastodynamic Logic Circuits
• Classical-to-Topological Transmission Line Couplers
• Manipulating Topological Valley Modes in Plasmonic Metasurfaces
• Hybrid topological guiding mechanisms for photonic crystal fibers
• A rational framework for dynamic homogenization at finite wavelengths and frequencies
• Metallic Network of Topological Domain Walls
• Observations of symmetry induced topological mode steering in a reconfigurable elastic plate
• Experimental observations of topologically guided water waves within non-hexagonal structures
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Valley-Current Splitter in Minimally Twisted Bilayer Graphene
• Complete absorption of topologically protected waves
• Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend
• Tutorial: Topology, waves, and the refractive index
• Rayleigh-Bloch, topological edge and interface waves for structured elastic plates
• Acoustic topological circuitry in square and rectangular phononic crystals