I'm recently interested in the topological/Weyl semimetals, but I'm not an expert on the theory. Most papers just define Weyl semimetal as a material that have pairs of Weyl points with opposite Berry curvature. Here in graphene, the Berry curvature of the Dirac cones at K and K' point is also opposite. So can we call graphene as a two-dimensional Weyl semimetal? For the Weyl semimetal candidates in literature, SOC is important, and each Weyl point is spin polarized. The Dirac bands of graphene are spin degenerate. Is the definition of Weyl semimetal also based on the SOC?