Magnetization-direction tunable nodal-line and Weyl phases

We propose a spinless symmetry-based three-band tight-binding model with the coexistence of nodal-line and Weyl points, after considering spin-orbital coupling and different magnetization directions. It is confirmed that the number of Weyl points and nodal lines can be tuned by the magnetization direction. The combination of time-reversal symmetry and mirror reflection symmetry plays a crucial role in protecting the degeneracy of nodal lines. Moreover, we put forward a different class of materials C4CrX3 (X=Ge and Si) which host such a nontrivial semimetallic phase.