Dirac zeros in an orbital selective Mott phase: Green's function Berry curvature and flux quantization

How electronic topology develops in strongly correlated systems represents a fundamental challenge in the field of quantum materials. Recent studies have advanced the characterization and diagnosis of topology in Mott insulators whose underlying electronic structure is topologically nontrivial, through ``Green's function zeros". However, their counterparts in metallic systems have yet to be explored. Here, we address this problem in an orbital-selective Mott phase (OSMP), which is of extensive interest to a variety of strongly correlated systems with a short-range Coulomb repulsion. We demonstrate symmetry protected crossing of the zeros in an OSMP. Utilizing the concept of Green's function Berry curvature, we show that the zero crossing has a quantized Berry flux. The resulting notion of Dirac zeros provides a window into the largely hidden landscape of topological zeros in strongly correlated metallic systems and, moreover, opens up a means to diagnose strongly correlated topology in new materials classes.