Quantum oscillations in clean kagome lattice Lu_1-yY_y(Nb_1-xTa_x)₆Sn₆ 

Kagome lattice crystal systems present interesting symmetry-protected band structure features such as flat bands, van Hove singularities, and linearly dispersing Dirac/Weyl points that provide a rich playground for strongly correlated electron physics. Motivated by the rich properties and charge density wave evolution through the 1-6-6 series of compounds, we present our results in single crystal growth and characterization of the of Lu_1-yY_y(Nb_1-xTa_x)₆Sn₆  double-alloy system, including evolution of the charge density wave transition, electrical transport behavior and resultant phase diagrams. We will review our analysis of quantum oscillations measurements and discuss the evolution of Fermi surfaces, effective mass behavior and quasiparticle disperson through the alloy series.