New classes of topological kagome metals and their unusual electronic properties

Kagome metals are compelling materials platforms for hosting electronic states that feature an interplay between topologically nontrivial electronic states and correlated electron phenomena. These two features can, for instance, arise from the Dirac points, flat bands, and saddle-points endemic to the kagome lattice type in simple tight-binding models. In this talk I will present some of our recent work exploring the electronic properties of two new classes of kagome metals, each with Z2 topology and saddle points close to Fermi energy. Specifically, our work studying the compounds AV3Sb5 (A=K, Cs, Rb) and RV6Sn6 (R=rare earth ion) will be presented. The former family of compounds exhibit an unusual charge density wave order intertwined with a low temperature superconducting ground state, and the latter family provide a tunable platform for interfacing magnetic order with a topologically nontrivial kagome band structure. Unconventional electronic properties observed in each class of new kagome comppunds and open questions will be discussed.