Exploring hitherto unknown quantum phases in kagome crystals

Kagome originated from ancient Chinese folk culture. Recently, the study of a series of topological materials hosting kagome lattices has revealed quantum interactions between geometry, topology, spin and correlation, as well as rich emergent phenomena. In this article I will briefly describe some key developments in this field, starting from the fundamental concepts of a kagome lattice, then moving to the realization of Chern and Weyl topological magnetism, to various flat-band many-body correlations, and finally to the puzzles of unconventional charge ordering and superconductivity. The worldwide research on kagome magnets and superconductors appears to be holding a quantum party on kagome lattices. However, these preliminary researches still cannot transcend superconductivity and quantum Hall physics. I hope this introduction can inspire more young researchers to explore and discover the third macroscopic quantum phenomena through exploring the emergent matter in kagome lattices, and embrace a true quantum celebration.