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

S. Raghu; F. D.M. Haldane

doi:10.1103/PhysRevA.78.033834

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

S. Raghu, F. D.M. Haldane

Research output: Contribution to journal › Article › peer-review

1029 Scopus citations

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.

Original language	English (US)
Article number	033834
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	78
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.78.033834
State	Published - Sep 23 2008

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.78.033834

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N2 - 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.

AB - 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.

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

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