Interface states in two-dimensional quasicrystals with broken inversion symmetry

Topological metamaterials exhibit remarkable functionality in robust energy localization and waveguiding. Passive systems mostly use periodic structures with nontrivial topological features in their band structures. While quasicrystals could significantly expand this design space by introducing other symmetry orders, their lack of periodicity adds challenges. This work demonstrates the existence of interface states induced by broken inversion symmetries in two-dimensional quasicrystals: Mass dimerization breaks inversion symmetry in a tenfold-symmetric quasicrystal lattice, producing two fivefold sublattices to create domain-wall interfaces for diffractionless waveguiding.