Emergent phases driven by Kondo coupling in moiré magnets and quantum spin liquids

Moiré superlattices of van der Waals materials led to highly tunable quantum platforms for realizing emergent phases across various systems, including graphene, semiconductors, and superconductors. While much progress has been made in understanding moiré-induced electronic phases, the exploration of moiré-engineered magnetic phases is a rapidly growing frontier. In the first part of my talk, I will present a comprehensive theoretical framework for synthetic moiré Kondo superlattices. This includes an analysis of effective RKKY interactions and the resulting emergent magnetic orders [1], as well as the competition between heavy fermion behavior and magnetically ordered states [2]. In the second part, I will discuss how fractionalized excitations in Z2 quantum spin liquids can mediate magnetic order when coupled to local moments via Kondo interaction [3]. In particular, when local moments form topological spin textures such as skyrmions, the Kondo coupling with the spin liquid can stabilize various vison crystal phases with nontrivial Chern numbers [4].