Observation of unconventional edge states in ‘photonic graphene’

• Published in: Nature materials Vol. 13; no. 1; pp. 57 - 62
• Main Authors: Plotnik, Yonatan, Rechtsman, Mikael C., Song, Daohong, Heinrich, Matthias, Zeuner, Julia M., Nolte, Stefan, Lumer, Yaakov, Malkova, Natalia, Xu, Jingjun, Szameit, Alexander, Chen, Zhigang, Segev, Mordechai
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 01-01-2014; Nature Publishing Group
• Subjects: 639/301/1019/1022; 639/301/357/918/1052; 639/301/357/918/1054; Band structure of solids; Biomaterials; Carbon; Condensed Matter Physics; Crystal lattices; Crystal structure; Crystallization; Dispersion; Dispersions; Electrons; Graphene; Graphite; Honeycomb; Honeycomb construction; Materials Science; Nanotechnology; Optical and Electronic Materials; Photonics; Surface defects
• ISSN: 1476-1122; 1476-4660
• DOI: 10.1038/nmat3783

Graphene, a two-dimensional honeycomb lattice of carbon atoms, has been attracting much interest in recent years. Electrons therein behave as massless relativistic particles, giving rise to strikingly unconventional phenomena. Graphene edge states are essential for understanding the electronic properties of this material. However, the coarse or impure nature of the graphene edges hampers the ability to directly probe the edge states. Perhaps the best example is given by the edge states on the bearded edge that have never been observed—because such an edge is unstable in graphene. Here, we use the optical equivalent of graphene—a photonic honeycomb lattice—to study the edge states and their properties. We directly image the edge states on both the zigzag and bearded edges of this photonic graphene, measure their dispersion properties, and most importantly, find a new type of edge state: one residing on the bearded edge that has never been predicted or observed. This edge state lies near the Van Hove singularity in the edge band structure and can be classified as a Tamm-like state lacking any surface defect. The mechanism underlying its formation may counterintuitively appear in other crystalline systems.
The propagation of light in photonic crystals with a honeycomb structure mirrors the behaviour of charges in graphene, therefore allowing for the investigation of electronic properties that cannot otherwise be accessed in graphene itself. This approach is now used to predict unexpected edge states that localize in the bearded edges of hexagonal lattices.