Interface states in two-dimensional quasicrystals with broken inversion symmetry

We investigate the existence of interface states induced by broken inversion symmetries in two-dimensional quasicrystal (QC) lattices. We introduce a 10-fold rotationally symmetric QC lattice whose inversion symmetry is broken through a mass dimerization that produces two fivefold symmetric sublattices. By considering resonator scatterers attached to an elastic plate, we illustrate the emergence of bands of interface states that accompany a band inversion of the QC spectrum as a function of the dimerization parameter. These bands are filled by modes which are localized along domain wall interfaces separating regions of opposite inversion symmetry. These features draw parallels to the dynamic behavior of topological interface states in the context of the valley Hall effect, which has so far been limited to periodic lattices. We numerically and experimentally demonstrate waveguiding in a QC lattice featuring a zigzag interface with sharp turns of 36∘, which goes beyond the limitation of ...