Title: Topological Bootstrap: From Free Fermions to Fractionalization and Fractons
Abstract: I will present a route toward realizing fractionalized topological phases of matter by literally building on un-fractionalized phases. This approach involves a Kondo lattice model in which a gapped electronic system of non-interacting fermions is coupled to non-interacting local moments via the exchange interaction. Using general entanglement-based arguments and explicit lattice models, I will show that in this way gapped spin liquids can be induced in the spin system. I will use this technique, dubbed the "topological bootstrap", to develop parton constructions for exotic, "fracton" topological phases in three dimensions.