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To observe the Weyl phonon (WP) with the maximum charge and to design arealistic material structure containing only single-pair-WPs have long beenconsidered two challenges in the field of topology physics. Here we havesuccessfully designed an acoustic crystal to realize the single-pair-WPs withthe maximum charge for the first time. Our theoretical simulations on acousticband dispersions demonstrate that protected by the time-reversal symmetry($\cal T$) and the point group symmetries, a WP with the charge -4($\mathcal{C}=-4$) and another WP with $\mathcal{C}=+4$ are located at thehigh-symmetry point $\Gamma$ and R, respectively, with the absence of any otherkinds of WPs. Moreover, the singe-pair-WPs obtained here are designed by thesimplest two-band mode, and the related quadruple-helicoid Fermi acrs can beobserved clearly in experiments, since they aren't covered by any bulk bandsand hybridized by other kinds of WPs. Our theoretical results provide areliable acoustic crystal to study the topological properties of thesingle-pair-WPs with the maximum charge for experimentalists in this field.

Realization of the Single-pair-Weyl Phonons with the Maximum Charge Number in Acoustic Crystals