Material realization of double-Weyl phonons and phononic double-helicoid surface arcs with P213 space group
Physical Review Materials
Unconventional chiral quasiparticles with twofold, threefold, and fourfold degeneracies and Chern number (C) = ±2 have recently sparked interest because of their topological chirality in momentum space. Herein, based on first-principles calculations and symmetry analysis, we propose 14 synthesized topological phonon systems with space group P213 (No. 198) that host two types of almost-ideal double-Weyl points, which are the fourfold degenerate charge-2 Dirac point and the threefold degenerate spin-1 Weyl point. Based on the projected local density of states on the  and  surfaces of these selected realistic materials, we discovered two visible winding around the projected double-Weyl points, demonstrating the appearance of phononic double-helical surface arcs. Furthermore, we constructed a k·p model to determine how the two types of double-Weyl point phonons coexist in the system with the P213 space group. We believe that this work provides directions for investigating double-Weyl point phonons and an ideal platform for investigating phononic double-helical surface states in realistic materials.
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Natural Science Foundation of Hebei Province