Weyl points and line nodes in gyroid photonic crystals

By Ling Lu, Liang Fu, John D. Joannopoulos, Marin Soljačić. Nature Photonics, 2012

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Weyl points and line nodes are three-dimensional linear point and line degeneracies between two bands. In contrast to two-dimensional Dirac points, which are their lower-dimensional analogues, Weyl points are stable in momentum space, and the associated surface states are predicted to be topologically non-trivial. However, Weyl points are yet to be discovered in nature. Here, we report photonic crystals based on double-gyroid structures, exhibiting frequency-isolated Weyl points with complete phase diagrams by breaking the parity and time-reversal symmetries. Gapless surface dispersions associated with non-zero Chern numbers are demonstrated. Line nodes are also found in similar geometries, the associated surface states forming flat dispersion bands. Our results are based on realistic ab initio calculations with true predictive power and should be readily realizable experimentally from microwave to optical frequencies. Materials exhibiting three-dimensional (3D) linear dispersion relations between frequency and wavevector are expected to display a wide range of interesting phenomena. 3D linear point degeneracies between two bands (“Weyl points”) have yet to be observed. Based on analytical and numerical analysis, researchers predict Weyl point formation in 3D photonic crystals.

View Paper: https://www.semanticscholar.org/paper/ef9679185f8e79c4b2a16bec03beb1703bdee00b

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Citations in the corpus

Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport (2016, methodology): “Chronologically, the photonic equivalent of the quantum Hall effect was predicted [9,23] and observed first among the photonic topological systems in 2D [9] (using a similar technique, topological effects were also observed in 3D systems [24,25]).”