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Analogs of quantum-Hall-effect edge states in photonic crystals

Physical Review A · 2008 · Vol. 78(3)

S. Raghu✉(Stanford University)F. D. M. Haldane(Stanford University)

Abstract

Photonic crystals built with time-reversal-symmetry-breaking Faraday-effect media can exhibit chiral edge modes that propagate unidirectionally along boundaries across which the Faraday axis reverses. These modes are precise analogs of the electronic edge states of quantum-Hall-effect (QHE) systems, and are also immune to backscattering and localization by disorder. The Berry curvature of the photonic bands plays a role analogous to that of the magnetic field in the QHE. Explicit calculations demonstrating the existence of such unidirectionally propagating photonic edge states are presented.

Topological Materials and Phenomena Photonic Crystals and Applications Quantum and electron transport phenomenaCondensed matter physicsFaraday cageMagnetic fieldPhysicsPhotonicsBerry connection and curvatureFaraday effectPhotonic crystalEnhanced Data Rates for GSM EvolutionQuantum Hall effect

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Topological photonics