Characterization of strongly correlated topological insulators from their Green's functions in the interacting single particle picture

In this work, we study strongly correlated topological insulators which arise when electronic interactions are significant. In particular, we construct effective "dressed states" from the single particle Green's function upon which we extend the theory of band topology. We find that this technique captures the topological characteristics of various interacting electron lattice models. We suggest that our technique may be used to classify strongly correlated topological materials from their Green's functions alone. In turn, this can be used to supplement current computational techniques used to simulate materials. We hope that this work can help bring theoretical and experimental efforts closer together to aid in the discovery of new materials.