Kondo Physics Across Single-Impurity and Lattice Limits in Moiré Material

Moiré materials provide a uniquely tunable platform for exploring Kondo physics across the regimes of single impurities and periodic Kondo lattices. In this talk, I will present two complementary approaches to controlling many-body Kondo screening in moiré systems. First, in engineered Kondo lattices realized in moiré Mott insulators such as WSe₂/WS₂ in proximity to WSe₂ conduction layer, we uncover a gate-tunable evolution from a heavy Fermi liquid to a Kondo insulator. Using slave-boson mean-field theory benchmarked by one-dimensional DMRG, we map the magnetic-field and temperature phase diagram and find good agreement with experimental observations. Second, in the single Kondo impurity limit realized by vacancy-induced quantum spins hybridized with flat moiré bands in twisted bilayer graphene, atomistic modeling combined with numerical renormalization group analysis reveals twist-angle–dependent Kondo physics. We identify van Hove–enhanced Kondo screening and a broad, magic-angle–sensitive distribution of Kondo temperatures. These results demonstrate that moiré platforms offer a versatile setting for tuning Kondo interactions and realizing emergent correlated ground states across impurity and lattice limits.