Bloch theorem dictated scar lattice. (IMAGE)
Caption
a, Conceptual illustration of a photonic crystal consisting of deformed dielectric microcavities. b, Energy bands as a function of the crystalline momentum (k_x,k_y) for a fixed cavity deformation ε = 0.05, including Quadradic Band Touching (QBT). Cross points (X) i and ii indicate the even parity mode (ψ_E) in a unit-cell for (k_x,k_y)=(π,0) and the odd parity mode (ψ_O), respectively. The right schematic illustration shows the symmetric scattering of light in the original C₄-symmetric boundary with QBT. c Distribution of non-zero Berry curvature in the momentum space induced by scar states in the C₄-breaking boundary. C₄-breaking boundary perturbation splits the single QBT into a pair of Dirac cones. Subsequently, C₂-breaking boundary perturbation gaps out the Dirac cones and induces the Berry curvature dipole. The Berry curvature dipole induces the skew scattering depending on the incident momentum, kinc, as shown in the right schematic illustration.
Credit
by Chang-Hwan Yi, Hee Chul Park, and Moon Jip Park
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License
CC BY