The recent discovery of AV3Sb5 (A=K,Rb,Cs) has uncovered an intriguing arena for exotic Fermi surface instabilities in kagome metals. Aside from charge density wave order [1], a multi-dome superconducting phase is found, with strong indications to be of unconventional origin. We find that the sublattice interference mechanism [2,3] is necessary and sufficient to uncover the nature of unconventional particle-hole and particle-particle pairing in the V net kagome metals. We predict a Peierls-type charge density wave with finite relative angular momentum and orbital current formation [4]. With regard to the possible nature of unconventional pairing, we find a rich phase diagram depending on the range of the screened electronic interactions, the multi-orbital content, and the location of multiple van Hove singularities with respect to the Fermi level [5]. Combined, kagome metals open a new domain of unconventional electronic order, unfolding a plethora of fascinating experimental and theoretical investigations.

[1] Jiang, et int., Thomale, Neupert, Wilson, and Hasan, Nature Materials (in press)
[2] Kiesel and Thomale Phys. Rev. B 86, 121105 (2012).
[3] Kiesel, Platt, and Thomale, Phys. Rev. Lett. 110, 126405 (2013).
[4] Denner, Thomale, and Neupert, arXiv:2103.14045
[5] Wu, et int., and Thomale, arXiv:2104.05671