  The discovery of topological quantum states marks a new chapter in both
condensed matter physics and materials sciences. By analogy to spin electronic
system, topological concepts have been extended into phonons, boosting the
birth of topological phononics (TPs). Here, we present a high-throughput
screening and data-driven approach to compute and evaluate TPs among over
10,000 materials. We have clarified 5014 TP materials and classified them into
single Weyl, high degenerate Weyl, and nodal-line (ring) TPs. Among them, three
representative cases of TPs have been discussed in detail. Furthermore, we
suggest 322 TP materials with potential clean nontrivial surface states, which
are favorable for experimental characterizations. This work significantly
increases the current library of TP materials, which enables an in-depth
investigation of their structure-property relations and opens new avenues for
future device design related to TPs.
