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The flat band localization, as an important phenomenon in solid statephysics, is fundamentally interesting in the exploration of exotic groundproperty of many-body system. Here we demonstrate the appearance of a flat bandin a general bipartite optomechanical lattice, which could have one or twodimensional framework. Physically, it is induced by the hybrid interferencebetween the photon and phonon modes in optomechanical lattice, which is quitedifferent from the destructive interference resulted from the special geometrystructure in the normal lattice (e.g., Lieb lattice). Moreover, this novel flatband is controllable and features a special local density of states (LDOS)pattern, which makes it is detectable in experiments. This work offers analternative approach to control the flat band localization with optomechanicalinteraction, which may substantially advance the fields of cavity optomechanicsand solid state physics.

Hybrid Interference Induced Flat Band Localization in Bipartite Optomechanical Lattices