Exotic Pairing Nature and Charge Ordering in Kagome Superconductors

Recent experimental investigations have identified fascinating electronic orders in kagome metals, such as intriguing superconductivity, charge density wave (CDW) and nematicity. Notably, there is various evidence of spontaneous time-reversal symmetry (TRS) breaking within the CDW phase, though its underlying mechanism remains elusive. In this talk, I will first review the exotic properties of these kagome superconductors. Then, I will discuss the effective model and the unique sublattice texture associated with van Hove singularities in the kagome lattice, which turns out to have significant effect on correlated states. Finally, I will present our proposed scenario for realizing a TRS breaking CDW within the kagome lattice. Potential experimental implications will be also discussed.