Zak phase induced interface states in two-dimensional phononic crystals

Interface states have great practical applications, therefore, searching for the existence of interface has both scientific significance and application prospects. In this work, we tilt structure unite two-dimensional phononic crystal with a square lattice to construct an oblique possessing linear Dirac dispersion. The dispersion gives rise π jump Zak phases bulk bands, so that projected band gaps at sides cone opposite signs surface impedance, resulting in deterministic formed by its tilted system.