Phase transition control in multiple types of topological semimetals by tilt term

In this Letter, we studied the phase transitions between multiple types of various topological semimetals caused by the tilt term and the breaking of emergent inversion-like symmetry and antiunitary particle–hole symmetry. Through calculations and symmetry analysis, we found that, for both the Dirac point and the Weyl point, the transitions between types I, II, and III occurred only when the particle–hole symmetry was broken in this model. Furthermore, when the two types of symmetry breaking coexist in the system, a hybrid Weyl semimetal appears. Finally, we achieved the transformation between type II and type III nodal ring semimetal by regulating the tilt term. This work systematically studied the transformations of multiple types of topological phases in topological semimetal materials and provided theoretical guidance for the prediction and experimental discovery of novel topological materials.