Topology and topology-induced transport properties in quantum materials

Topological quantum materials have been extensively studied in recent years. After introducing the band structure topology and related materials, I will talk about novel electric and optical phenomena emerging in quantum materials caused by topology. For example, Weyl semimetals can exhibit anomalous Hall effect (AHE) due to the monopole-like Berry curvature and also an exotic nonlinear AHE due to the Berry curvature dipole. Further, we found that magnetic quantum materials exhibit exotic optical responses, for instance, a giant photocurrent caused by the quantum geometry beyond Berry phase.