Topological Weyl semimetal phases in a time reversal invariant spinless model.

We investigate the topological Weyl semimetal phases in a time reversal invariant spinless lattice model which hasorpoint group symmetries. For thecase, the model is characterized by eight Weyl points in the=plane, while for thecase, it is characterized by four Weyl points in the=plane. For both cases, Fermi arcs can be realized on their surfaces. We find that the topological Weyl semimetal can be viewed as an intermediate phase between the topological crystalline insulator (TCI) and normal insulator, and they all can be described by the so-called bent mirror Chern numbers. What's more, in thecase, the TCI phase is still present when the perturbation is small, though theinvariant is not well-defined then, however, it can be well described by the bent mirror Chern number.