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Twisted bilayer systems with discrete magic angles, such as twisted bilayergraphene featuring moir\'{e} superlattices, provide a versatile platform forexploring novel physical properties. Here, we discover a class of superflatbands in general twisted bilayer systems beyond the low-energy physics ofmagic-angle twisted counterparts. By considering continuous latticedislocation, we obtain intrinsic localized states, which are spectrallyisolated at lowest and highest energies and spatially centered around the AAstacked region, governed by the macroscopic effective energy potential well.Such localized states exhibit negligible inter-cell coupling and support theformation of superflat bands in a wide and continuous parameter space, whichcan be mimicked using a twisted bilayer nanophotonic system. Our findingsuggests that general twisted bilayer systems can realize continuously tunablesuperflat bands and the corresponding localized states for various photonic,phononic and mechanical waves.

Intrinsic Superflat Bands in General Twisted Bilayer Systems