Topological phases in a Weyl semimetal multilayer

We investigate how topological phases are realized in Weyl semimetal multilayers, and how they are different from a Weyl semimetal phase. In our previous work [1], we showed that the quantum anomalous Hall phases with different Chern numbers emerge in a Weyl semimetal multilayer with broken time-reversal symmetry when the stacking direction is parallel to the displacement vector connecting between the two Weyl nodes. To extend our previous research, we consider two setups: (i) a Weyl semimetal multilayer with broken inversion symmetry, (ii) a nodal-line semimetal multilayer with magnetization. In (i), we show that various topological insulator phases appear in the multilayer. In (ii), we discuss relationships with the results in the Weyl semimetal multilayer. [1] K. Yokomizo and S. Murakami, Phys. Rev. B 95, 155101 (2017)