Topological nodal-point phononic systems

Topological phonons in materials are associated with specific atomic lattice vibrations around the terahertz frequency ranges, offering a rich platform for studying various boson-related quasiparticles. Recently, researchers in topological physics have prioritized the search for materials that exhibit topological phonons. This review focuses on topological nodal-point phononic systems in three dimensions. On the one hand, the review highlights the classification, symmetry conditions, material realizations, unique properties, and potential applications of these topological nodal-point systems. On the other hand, it summarizes our guidelines for predicting such materials in three and two dimensions. This review can serve as a scholarly survey of recent developments in topological nodal-point phononic systems over the past 5 years as well as a guide for achieving other and designing new topological nodal-point phononic states in the future. It will undoubtedly benefit academic communities interested in materials science and condensed matter physics.