Kondo insulators as tunable platforms for realizing and detecting Green's-function zeros and correlated topology

Topology encoded in Green's function zeros captures the intrinsically non-quasiparticle character of correlated topological matter. While Mott insulators have provided valuable theoretical insight into such zeros, their large charge gaps make direct experimental access challenging. Similar to Mott insulators, Kondo insulators host Green's function zeros inside the hybridization gap. Here, we advance Kondo insulators as tunable platforms to detect the interplay between Green's function zeros and topology due to their small hybridization gaps. Using a combination of exact diagonalization and slave-particle formulations of the 1D Kondo lattice model with a nonmagnetic impurity and Zeeman field, we show that zeros within the hybridization gap produce characteristic impurity-induced bound-state resonances in the unitary limit, where the impurity scattering strength approaches the Kondo coupling. The controlled inversion or disappearance of these resonances under tunable parameters provides a direct experimental pathway to identify Green's function zeros. Our results establish Kondo lattice insulators and their material realizations as experimentally accessible systems for probing topology without quasiparticles in strongly correlated matter.