Figure 3

The LDOS of 1D array lattice. The LDOS of 1D array for different decay rate k. The local photon or phonon DOS of sites A and B under the condition (a,c,e) \({\rm{\Delta }}={\rm{\Omega }}\) and (b,d,f) \({\rm{\Delta }}={\rm{\Omega }}-{J}\). Here the point \({\rm{\omega }}={\rm{\Omega }}\) corresponds to the flat band in Fig. 2(a). The parameters are same as that in Fig. 2 except for \(\gamma ={10}^{-3}J\).