Floquet dynamics in multi-Weyl semimetals

Multi-Weyl semimetals(m-WSMS) are characterized by anisotropic non-linear energy dispersion along 2-D plane and a linear dispersion in orthogonal direction. They have topological charge J and are realized when two or multiple Weyl nodes with nonzero net monopole charge bring together onto a high-symmetry point. The model Hamiltonians of such systems show various phases such as trivial normal insulators (NIs), WSMs and quantum anomalous Hall(QAH) states depending on the model parameters. We study a periodic driving of such Hamiltonians in trivial NI phase by circularly polarized light and shows this phase can be tunable to Weyl semimetals phase. This transition can be accomplished with large anomalous Hall conductivity which could be observed in transport measurements or pump-probe angle resolved photoemission spectroscopy experiments.