We investigate proximity effects in a correlated heterostructure of a two-dimensional Mott insulator (MI) and a topological insulator (TI) by employing inhomogeneous dynamical mean-field theory. We show that the edge state of the TI induces strongly renormalized mid-gap states inside the MI region, which still have a remnant of the helical energy-spectrum. The penetration of low-energy electrons, which is controlled by the interface tunneling V , largely enhances the electron mass inside the MI and also splits a single Dirac-cone at edge sites into the spatially-separated two Dirac-cones in the strong V region.
PACS numbers:Remarkable progress has been made in the study of the topological insulator (TI) as a new class of materials characterized by an energy gap in the bulk but gapless edge (surface) states at its boundary 1-3 . In recent experiments, the observation of such TIs is reported for HgTe/CdTe quantum wells 2,4 and some bismuth compounds (such as Bi 2 Se 3 and Bi 1−x Sb x ) 5-8 , corresponding to two-and three-dimensional TIs, respectively. Edge states of TIs are protected by non-trivial topological properties of the electronic bulk spectrum, thereby being robust against small perturbations conserving timereversal symmetry, such as non-magnetic impurities 9 . Hence, as long as the bulk gap exists, the low-energy physics of the TI is dominated by the edge states.Heterostructures involving the TIs are currently the subject of intensive studies as they might have applications in future spintronics devices. They also provide a versatile platform for searching exotic interface phenomena, such as Majonara bound states 10,11 and anomalous magnetoresistance 12 . In particular, we would like to explore the interface physics which emerges in a heterostructure composed of a TI and strongly correlated materials, since the previous studies of TI have mainly focused on heterostructures involving non-interacting electrons.Regarding heterostructures with electron correlations, recent years have seen tremendous advances in producing high-quality interfaces composed of various materials such as band-insulator/Mott-insulator (BI/MI) or different types of band insulators. Unusual properties have been discovered at these interfaces, such as strongly confined metallic phases 13 , magnetism 14 , and superconductivity 15 to name a few. The occurrence of a metallic interface through electronic rearrangement is one of the intriguing features of the BI/MI heterostructures 16-21 . Naturally we may ask how the situation is modified when the band insulator is replaced by a topological insulator (TI). The interface metallic state should be influenced by the presence of topological edge states and the interplay between such edge states and the strong electron correlation can give rise to novel physical properties.In this study, we analyze the electronic properties at a two-dimensional heterostructure consisting of a paramagnetic Mott insulator (MI) and a TI, by using a rather simple microscopic model for both insulators of TI/MI hete...