Topology and correlation driven exotic electronic phases in a kagome superconductor CsV₃Sb₅

Kagome compounds provide a fertile playground to explore the rich interplay between geometry, topology and electronic correlations. In this talk, we focus on a topological kagome metal CsV₃Sb₅ that exhibits cascade of symmetry-breaking electronic phases, including charge density wave, electronic nematicity and superconductivity. A giant anomalous Hall conductivity is observed exactly following the CDW transition, and the superconductivity shows an unusual competition with this CDW state under pressure. These findings point to an unconventional nature of the CDW. Deeply in the CDW state, we found the emergence of electronic nematicity that intertwines with CDW and superconductivity, drawing strike parallel to the high temperature superconductors.  At low temperatures, the topological surface states cooperate with superconductivity, and Majorana zero modes can be realized inside the vortex cores. All these results establish CsV₃Sb₅ as an ideal playground to study the topology and correlation driven exotic electronic orders.