Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice

We propose a realization of Kondo-lattice physics in moir\'e superlattices at the interface between WX$_2$ homobilayer and MoX$_2$ monolayer (where X=S,Se). Under appropriate gating conditions, interface-WX$_2$-layer forms triangular lattice local moments that couple to itinerant electrons other WX$_2$-layer via gate-tunable Kondo exchange interaction. Using parton mean-field approach we identify range twist-angles which support gate-tuned quantum phase transition heavy-fermion liquid with large anomalous Hall conductance fractionalized chiral spin-liquid coexisting light Fermi liquid, describe experimental signatures distinguish among competing theoretical scenarios.