Categories of Phononic Topological Weyl Open Nodal Lines and a Potential Material Candidate: Rb₂Sn₂O₃

The phononic topological Weyl closed nodal lines, including Weyl nodal rings, nodal chains, nodal nets, nodal links, and nodal knots, have been widely studied. The phononic topological Weyl open nodal lines (PTWONLs), however, have not been well investigated so far. By analyzing the coexistence of parity inversion and time-reversal symmetries, we found that the PTWONLs can be divided into three categories, with surface states hosting different shapes and positions in the Brillouin zone (BZ). Specifically, semiconducting Rb₂Sn₂O₃ was found to exhibit perfect PTWONLs in its phonon spectrum, which fills up one of the categories. Numerical calculations showed that the drumhead-like surface states exist on the (010) surface and six PTWONLs appear in the first BZ due to the C₃ rotation symmetry in the crystal structure. Their topological nontrivial nature was confirmed by calculating the Berry phase and by the linear phononic bands around the Weyl points. These theoretical findings provide a deep understanding into the phononic Weyl-open-nodal-line physics, and a promising candidate for experimental verification.