Edge zeros and boundary spinons in topological Mott insulators

In the recent literature, the concept of topological Mott insulator has been spelled out in rather different ways. Due to the intrinsic many-body nature, a comprehensive classification is challenging to formulate. In this talk I will discuss a novel, particularly simple way of describing topological Mott insulators based on the momentum dispersion of single-particle Green's function zeros. Using the bulk-boundary correspondence, a way of revealing the physical consequences of the boundary zeros based on the hybridization with conventional topologically protected edge modes is proposed. Finally, I will discuss the connection between zeros and spinons in a gapped U(1) spin liquid.