Topological creation and destruction of edge states in photonic graphene

Abstract

We demonstrate theoretically and experimentally a topological transition of classical light in "photonic graphene": an array of waveguides arranged in the honeycomb geometry. As the system is uniaxially strained (compressed), the two unique Dirac points (present in the spectrum of conventional graphene) merge and annihilate each other, and a band gap forms. As a result, edge states are created on the zig-zag edge and destroyed on the bearded edge. These results are applicable for any 2D honeycomb-type structure, from carbon-based graphene to photonic lattices and crystals.

21 pages, 8 figures

References in corpus (8)

• Photonic Floquet Topological Insulators
• Topologically protected midgap states in complex photonic lattices
• Observation of novel edge states in photonic graphene
• Merging of Dirac points in a two-dimensional crystal
• Extremal transmission at the Dirac point of a photonic band structure
• Robustness of edge states in graphene quantum dots
• Zero modes and the edge states of the honeycomb lattice
• Topological aspects of graphene: Dirac fermions and the bulk-edge correspondence in magnetic fields

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