Topological Bootstrap: Fractionalization From Kondo Coupling

We propose a route toward realizing fractionalized topological phases of matter (i.e. with in- trinsic topological order) by literally building on un-fractionalized phases. Our approach employs 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, we show that in this way gapped spin liquids can be induced in the spin system. We demonstrate the power of this ``topological bootstrap'' concept with two examples: (1) a chiral spin liquid induced by a Chern insulator and (2) a Z$_{\mathrm{2\thinspace }}$spin liquid induced by a superconductor. In particular, in the latter example, the toric code is realized as an exactly solvable example of topological bootstrap. Our approach can be generalized to all lattices, higher dimensions, and non-abelian topological orders.