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We introduce a real-space slave rotor theory of the physics of topologicalMott insulators, using the Kane-Mele-Hubbard model as an example, and use it toshow that a topological gap in the Green function zeros corresponds to a gap inthe bulk spinon spectrum and that a zero edge mode corresponds to a spinon edgemode. We then consider an interface between a topological Mott insulator and aconventional topological insulator showing how the spinon edge mode of thetopological Mott insulator combines with the spin part of the conventionalelectron topological edge state leaving a non-Fermi liquid edge mode describedby a gapless propagating holon and gapped spinon state. Our work demonstratesthe physical meaning of Green function zeros and shows that interfaces betweenconventional and Mott topological insulators are a rich source of new physics.

Edge zeros and boundary spinons in topological Mott insulators