Fig. 3: Analysing the topological valley disclination defect.
From: Investigating topological valley disclinations using multiple scattering and null-field theories

a Distributions of the Wannier centers (blue dots) before and after the creation of the disclination-type topological defect, and Spatial distribution of the first band gap through a continuous lattice distortion, obtained through the PWE method. A disclination interface (white stripe) connects the quasicrystal with the output (star). The cyan diamond indicates the location of the point source used for the MST computations and COMSOL simulations in panels (b–d). b Transmission spectrum of the pressure amplitude averaged over the black dots along the disclination, evaluated at the output (star) and within the bulk (square). The bulk band gap predicted from PWE computations in (a) is marked in gray. c, d Spatial distribution of the pressure field emitted by the point source for frequencies outside and inside the bulk gap in (b) using MST and from COMSOL simulations, respectively.