Fig. 3
From: Mixed topological semimetals driven by orbital complexity in two-dimensional ferromagnets

Emergence of mixed topological semimetallic states. Phase diagrams of one-layer a TlSe, b Na3Bi, and c GaBi with respect to the magnitude B and the direction \(\widehat {\mathbf{m}}\) = (sin θ, 0, cos θ) of the applied exchange field. Side views of the unit cells highlight differences in the crystalline symmetries, and colors represent the value of the global band gap in eV. To characterize quantum spin Hall (QSHI) and quantum anomalous Hall (QAHI) phases, we use the spin Chern number \({\cal{C}}_{\mathrm{S}}\) and the momentum Chern number \({\cal{C}}\), respectively. Dashed gray lines mark the boundary between different insulating topological phases for which the band gap closes. The emergent metallic states are labeled as either mixed Weyl semimetal (MWSM) or mixed nodal-line semimetal (MNLSM)