Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material.

By Longhua Wu, Xiao Hu. Physical Review Letters, 2015

1,053 citations recorded by the source corpus.

We derive in the present work topological photonic states purely based on conventional dielectric material by deforming a honeycomb lattice of cylinders into a triangular lattice of cylinder hexagons. The photonic topology is associated with a pseudo-time-reversal (TR) symmetry constituted by the TR symmetry supported in general by Maxwell equations and the C_{6} crystal symmetry upon design, which renders the Kramers doubling in the present photonic system. It is shown explicitly for the transverse magnetic mode that the role of pseudospin is played by the angular momentum of the wave function of the out-of-plane electric field. We solve Maxwell equations and demonstrate the new photonic topology by revealing pseudospin-resolved Berry curvatures of photonic bands and helical edge states characterized by Poynting vectors.

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

View Paper: https://www.semanticscholar.org/paper/9cb23f52af808b99aec9cff42628fb8a3ca49463

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Citations in the corpus

Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, background): “Zone-folding mechanism provides a simple way to achieve modal hybridization, as two single Dirac degeneracies are folded from the K point to the Γ point in the Brillouin zone [279].”
A topological quantum optics interface (2017, methodology): “The perturbations open two bandgaps exhibiting band inversion at the G point (20, 21).”
Topological photonics (2018, background): “22(c) and 22(f)] (Wu and Hu, 2015; Xu et al., 2016).”
Roadmap on topological photonics (2022, background): “Several pioneering works followed, first in microwave PhCs [6], and later in waveguide arrays [7], silicon photonics [8, 9], and other photonic platforms [10, 11].”
Topological acoustics (2022, background): “bital modes (note the pseudospins are only well-defined around the Γ point), and the condition (UT )(2) = −1 can be fulfilled by using a U generated from the C6 symmetry [45].”
Observation of second-order topological insulators in sonic crystals (2018, background): “These gapless edge states are dictated by the topological invariants associated with the quantization of generalized Berry’s phases of the bulk energy bands through the bulk-edge correspondence, a paradigm that can also be extended to acoustic and photonic systems [5-23].”