Fig. 2: Density of states of the flatbands.

a The numerically simulated eigenenergies for the lattice with N = 9, t0 = 69 MHz, and next-nearest-neighbor coupling κ = 2 MHz. b Experimentally measured D(ν), which is obtained from reflection spectra of each resonator by vector network analyzer 3672C. The peaks correspond to the 19 flatbands with discrete eigenenergies. The positions of the peaks coincide with the theoretical prediction. The spectra weight indicates the degeneracy of each band.