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Intuitively, the dispersion characteristics of Weyl nodes with oppositecharges in single-pair charge-2 Weyl semimetals are the same, quadratic orlinear. We theoretically predicted that single-pair hybrid charge-2 Weylsemimetals (the nodes with opposite charges show quadratic Weyl and linearcharge-2 Dirac characteristics, respectively) can be protected by specificnonsymmorphic symmetries in spinless systems. Moreover, the symmetries forcethe pair of Weyl points locate at the center and corners of the first Brillouinzone (FBZ), respectively. Consequently, nontrivial surface states run throughthe entire FBZ of the system fascinating for future experimental detection anddevice applications. The hybrid phase is further verified with the help offirst-principles calculations for the phonon states in realistic material ofNa$_2$Zn$_2$O$_3$. The new phase will not only broaden the understanding of theWeyl semimetals, but also provide an interesting platform to investigate theinteraction between the two types of Weyl fermions with different dispersions.

Hybrid single-pair charge-2 Weyl semimetals