Fig. 4: Asymmetric localization of the sound generated by tilting the unit cells.

a, b Square bilayer moiré quasicrystal (\(\theta=\arctan {3}^{-1/2}=\pi /6\)) in both non-tilted and tilted configurations. c, d, Sound pressure fields before and after a \(5^\circ\) tilt. The unit cell structure is shown in the upper right corner. e Asymmetric energy distribution in the cross-section of the quasicrystal. The green curve shows the energy distribution along the \(x\)-axis at \(y=0\).