Reflection-free one-way edge modes in a gyromagnetic photonic crystal.

By Z. Wang, Y. Chong, John D. Joannopoulos, Marin Soljačić. Physical Review Letters, 2007

1,099 citations recorded by the source corpus.

We point out that electromagnetic one-way edge modes analogous to quantum Hall edge states, originally predicted by Raghu and Haldane in 2D photonic crystals possessing Dirac point-derived band gaps, can appear in more general settings. We show that the TM modes in a gyromagnetic photonic crystal can be formally mapped to electronic wave functions in a periodic electromagnetic field, so that the only requirement for the existence of one-way edge modes is that the Chern number for all bands below a gap is nonzero. In a square-lattice yttrium-iron-garnet crystal operating at microwave frequencies, which lacks Dirac points, time-reversal breaking is strong enough that the effect should be easily observable. For realistic material parameters, the edge modes occupy a 10% band gap. Numerical simulations of a one-way waveguide incorporating this crystal show 100% transmission across strong defects.

Subfields: Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/41ca4f0ff8b496c56fe38c84cbb7ad55532dead4

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Citations in the corpus

Topological photonics (2018, methodology): “(5) then takes the form (Wang et al., 2008) AnðkÞ ¼ ihEn;kj∇kEn;ki ¼ i Z d2r X ij E)n;k;iðrÞϵijðrÞ∇kEn;k;jðrÞ ð36Þ in terms of the normalized Bloch eigenfunctions En;kðrÞ of the photon state of crystal momentum k and band index n. Starting from Eq.”
Topological photonics (2014, methodology): “Starting with an introduction to the relevant topological concepts, we introduce the 2D quantum Hall phase through the stability of Dirac cones [4, 5], followed by its realizations in gyromagnetic photonic crystals [7, 8, 13], in coupled resonators [9, 10, 16] and waveguides [15], in bianisotropic m”
Three-dimensional all-dielectric photonic topological insulator (2016, background): “Following the footsteps of condensed matter topological systems, a significant progress has been recently made in understanding and realizing topological states for bosons [ 1, 2, 3, 4, 5] and in classical systems [ 6, 7, 8, 9, 10, 11, 12, 13, 14 15, 16, 17, 18, 19, 20, 21, 22, 23].”
Time- and Site-Resolved Dynamics in a Topological Circuit (2013, background): “Efforts are ongoing to produce the requisite topological single-particle dynamics in ultracold atomic gases [10–16], gyrotropic metamaterials [17,18], and photonic systems [17,19–26].”
Photonic topological insulators. (2012, background): “In particular, photonic counterparts of quantum Hall edge states have been predicted [ 13, 14, 16, 17] and experimentally observed [ 18, 19] in systems with broken time-reversal symmetry.”
Active times for acoustic metamaterials (2019, background): “had been demonstrated for microwave using magnetically biased photonic crystals [223], their extension to acoustics remained unexplored until very recently due to the absence of efficient ways to break time reversal symmetry of sound propagation.”
Driven-dissipative preparation of entangled states in cascaded quantum-optical networks (2011, background): “While such a scenario is reminiscent of edge modes in quantum Hall systems [24, 25, 26, 27, 28], various artificial and more controlled realizations based on (integrated) non-reciprocal devices for optical [29, 30] and microwave [31, 32] photons are currently developed.”