Robustness of spin-polarized edge states in a two-dimensional topological semimetal without inversion symmetry

Three-dimensional topological gapless phases have attracted significant attention due to their unique electronic properties. A flagship example is Weyl semimetals, which require breaking time-reversal or inversion symmetry. In two dimensions, the dimensionality reduction requires imposing an additional symmetry, thereby weakening phase. Like its three-dimensional counterpart, these ``two-dimensional semimetals'' present edge states directly related nodes. The direct comparison with in zigzag-like terminated graphene ribbons unavoidable, offering question of how robust are and differences. Here we benchmark robustness two-dimensional semimetals without symmetry those zigzag ribbons. Our results show that, despite having a similar band structure, more against vacancies than We attribute this enhanced crucial role spin degree freedom former case.