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

By S. Raghu, F. Haldane. 2006

986 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/74172b92633a274726ab20a39cd1a9294ebba8c6

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

• Artificial gauge fields in materials and engineered systems (2017, neutral): “First, this was proposed via the use of Faraday-effect media [143,144].”
• Quantum simulation with interacting photons (2016, background): “The first approaches to exploring photons that are subject to an artificial gauge field were put forward by Haldane and Raghu [105, 205], who considered a hexagonal array of dielectric rods leading to two dimensional photonic bands that show an appreciable Faraday effect leading to a breaking of tim”
• Roadmap on topological photonics (2022, background): “These ideas were originally developed entirely within the context of condensed matter physics, but in 2005 it was proposed that photonic crystals (PhCs) can exhibit a new type of electromagnetic wave, analogous to the edge states of a quantum Hall system, that travels unidirectionally and is intrins”
• Photonic topological insulators. (2012, methodology): “This can be done by truncating the plane-wave basis to six plane-waves corresponding to the three reciprocal lattice vectors closest to K and K, points and then using the photonic $ ∙ D approximation [ 41, 16].”
• Topological Photonic Crystals: Physics, Designs, and Applications (2022, methodology): “As a seminal work of TPCs, Haldane and Raghu [17, 106] introduced topology into a 2D triangular lattice array of gyroelectric medium.”
• Topological polaritons from quantum wells in photonic waveguides or microcavities (2014, background): “[2] S. Raghu and F. D. M. Haldane, Phys.”