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Effective manipulation of phonons is crucial to modern energy‐information science and technologies but limited by the charge neutral and spinless nature of phonons. Recently, novel quantum concepts, including Berry phase, topology, and pseudospin, are introduced to phonon systems, providing fundamentally new routes to control phonons, opening an emerging field of “topological phononics.” Here, the basic concepts of Berry phase, topology, and pseudospin for phonons are introduced. Also, recent research progresses on various phononic topological states are reviewed, including phononic Su‐Schrieffer‐Heeger‐like states in 1D, quantum anomalous Hall‐like states, quantum valley Hall‐like states, and quantum spin Hall‐like states in 2D, and phononic Weyl points, nodal lines, and topological insulators in 3D. In addition to the fundamental models, material realizations and potential applications of topological phononics are comprehensively presented.
Phononic topological states are comprehensively discussed, including Su‐Schrieffer‐Heeger‐like states in 1D, quantum anomalous/valley/spin Hall‐like states in 2D, and phononic topological insulators and topological semimetals in 3D. An overview of topological phononics from fundamental models to real materials is also provided, followed by an outlook on future experiments and potential applications of this emerging research field.