  We propose a route toward realizing fractionalized topological phases of
matter (i.e. with intrinsic 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 Z2 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.
