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Recently, Wang et al. [Phys. Rev. B, 106, 195129 (2022)] challenged a widelyheld belief in the field of Weyl physics, demonstrating thatsingle-pair-Weyl-points (SP-WPs) can exist in nonmagnetic spinless systems,contrary to previous assumptions that they could only exist in magneticsystems. Wang et al. observed that the SP-WPs with opposite and even chiralcharges (i.e., |C| = 2 or 4) could also exist in nonmagnetic spinless systems.In this Letter, we present a novel finding in which SP-WPs have a partner,namely a charged nodal surface, in nonmagnetic spinless systems. In contrast toprevious observations, we show that the SP-WPs can have uneven chiral charges(i.e., |C| = 1). We identify 6 (out of 230) space groups (SGs) that containsuch SP-WPs by searching the encyclopedia of emergent particles inthree-dimensional crystals. Our finds were confirmed through the phonon spectraof two specific materials Zr3O (with SG 182) and NaPH2NO3 (with SG 173). Thisdiscovery broadens the range of materials that can host SP-WPs and applies toother nonmagnetic spinless crystals.

Recipe for single-pair-Weyl-points phonons carrying the same chiral charges