Analogs of quantum-Hall-effect edge states in photonic crystals
Open accessAbstract
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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The centre-of-energy velocity of the wave packet contains an anomalous contribution proportional to the Berry curvature of the band, and this contribution is responsible for various Hall effects.
“Based on the semi-classic equations of motion for wave packet propagation in the presence of Berry curvature1,19,20,33,34, the centre-of-energy velocity of the wave packet contains an ‘anomalous’ contribution proportional to the Berry curvature of the band, and this contribution is responsible for various Hall effects1,19,33.”
From Photonic Hall effect and helical Zitterbewegung in a synthetic Weyl system (2019) · cites this paper as [19]
The Introduction (p. 1) states that Berry curvature adds an anomalous contribution to wavepacket velocity and links that velocity to the anomalous Hall effect. But it specifies that the contribution is proportional to acceleration; §D (p. 7) says it is active only when the wavepacket is accelerated by an inhomogeneous medium. The copy does not establish that this velocity contribution is responsible for Hall effects generally. (LLM, conf=0.82)
Experimental — accuracy not yet measuredSince pioneering theoretical predictions and experimental demonstrations of topologically protected electromagnetic edge states, most studies have focused on linear topological photonic structures.
“Since the pioneering theoretical predictions [100] and experimental demonstrations [101] of topologically protected electromagnetic edge states, most studies have focused on linear topological photonic structures [75,21].”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [100]
The spin-orbit interaction of light and spin-to-orbit conversion of angular momentum, which can be associated with the spin Hall effect, occurs upon scattering of polarized plane waves on various non-planar objects, such as lenses or small scatterers, or in inhomogeneous anisotropic media.
“Finally, the spin-orbit interaction of light and spin-to-orbit conversion of the angular momentum (which can be associated with the spin Hall effect) occurs upon the scattering of polarized plane waves on various non-planar objects, such as lenses or small scatterers, or in inhomogeneous anisotropic media [67,145 -152].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [146]
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- Authors
- Raghu, S., & Haldane, F. D. M.
- Affiliations
- Stanford University (US)
- Princeton University (US)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-09-23
- Volume
- 78
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2007421284
- Cited by
- 1,290
- References
- 26
- Citations by year
- 2026: 52 · 2025: 119 · 2024: 109 · 2023: 122 · 2022: 104 · 2021: 136 · 2020: 111 · 2019: 99 · 2018: 109 · 2017: 69 · 2016: 64 · 2015: 55 · 2014: 31 · 2013: 42 · 2012: 26
- FWCI
- 8.11
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- photonic crystals, chiral edge states, Faraday rotation, time-reversal symmetry breaking, Berry curvature, unidirectional propagation, backscattering immunity, photonic band structure
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