Topological kagome charge order

Kagome lattice naturally features Dirac fermions, flat bands, and van Hove singularities in its electronic structure. The Dirac fermions encode topology, flat bands favor magnetism, while van Hove singularities can lead to instabilities towards long-range orders, altogether allowing for the discovery of a series of topological kagome magnets and superconductors. Recent progress in studying these kagome materials has witnessed rich emergent phenomena resulting from the quantum interactions between geometry, topology, and correlation. I will briefly review the recent progress in this field and discuss our work on finding the topological kagome charge order with advanced spectroscopic techniques, and highlight the magnetic tunability and bulk-boundary correspondence of this novel quantum order.