Photonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --

Abstract

This paper presents a theoretical analysis on bulk and edge states in honeycomb lattice photonic crystals with and without time-reversal and/or space-inversion symmetries. Multiple Dirac cones are found in the photonic band structure and the mass gaps are controllable via symmetry breaking. The zigzag and armchair edges of the photonic crystals can support novel edge states that reflect the symmetries of the photonic crystals. The dispersion relation and the field configuration of the edge states are analyzed in detail in comparison to electronic edge states. Leakage of the edge states to free space is inherent in photonic systems and is fully taken into account in the analysis. A topological relation between bulk and edge, which is analogous to that found in quantum Hall systems, is also verified.

9 pages, 7 figures

References in corpus (9)

• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Analogs of quantum Hall effect edge states in photonic crystals
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Extremal transmission at the Dirac point of a photonic band structure
• Effective theory of quadratic degeneracies
• Geometrical Aspects in Optical Wavepacket Dynamics
• Dirac Spectra and Edge States in Honeycomb Plasmonic Lattices
• Extinction of coherent backscattering by a disordered photonic crystal with a Dirac spectrum

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