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Charge-six twofold Weyl states induced by the coupling of neighboring bands

Zhe-Qi Wang1, Xiang-Feng Yang1, and Hua-Hua Fu1,2,*

  • *Contact author: hhfu@hust.edu.cn

Phys. Rev. B 111, L201301 – Published 1 May, 2025

DOI: https://doi.org/10.1103/PhysRevB.111.L201301

Abstract

Crystal symmetry has long been regarded as a crucial factor in generating various topological quasiparticle states. Constrained by all possible symmetries in materials, the Chern number C of a twofold Weyl point (WP) is believed to have a maximum value of |C|=4. In this study, we discover that when considering the coupling between two quadratic crossing bands and their neighboring bands in momentum space, the crossing point may transform into a twofold quadratic WP. Due to its partial crystal symmetry constraint, the Chern number of this twofold WP surpasses the maximum Chern number constraint, attaining a value of |C|=6. Its pseudospin structure differs from those of all previously reported WPs and the sextuple-helicoid surface arc state is well produced, thereby firmly confirming its nontrivial topological nature. Notably, this twofold WP with |C|=6 is well established in an acoustic crystal in space group no. 168. Our theoretical discovery paves another way for exploring unconventional topological phenomena.

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