Electronic structure of single layer 1T-NbSe$_2$: interplay of lattice distortions, non-local exchange, and Mott-Hubbard correlations

Autor: Malte Schüler, Gunnar Schönhoff, Tim O. Wehling, E. Kamil, Malte Rösner, Jan Berges, Giorgio Sangiovanni
Rok vydání: 2018
Předmět:
DOI: 10.48550/arxiv.1804.03898
Popis: Using ab-initio calculations we reveal the nature of the insulating phase recently found experimentally in monolayer 1T-NbSe$_2$. We find soft phonon modes in a large parts of the Brillouin zone indicating the strong-coupling nature of a charge-density-wave instability. Structural relaxation of a $\sqrt{13}\times\sqrt{13}$ supercell reveals a Star-of-David reconstruction with an energy gain of 60 meV per primitive unit cell. The band structure of the distorted phase exhibits a half-filled flat band which is associated with orbitals that are delocalized over several atoms in each Star of David. By including many-body corrections through a combined GW, hybrid-functional, and DMFT treatment, we find the flat band to split into narrow Hubbard bands. The lowest energy excitation across the gap turns out to be between itinerant Se-$p$ states and the upper Hubbard band, determining the system to be a charge-transfer insulator. Combined hybrid-functional and GW calculations show that long-range interactions shift the Se-$p$ states to lower energies. Thus, a delicate interplay of local and long-range correlations determines the gap nature and its size in this distorted phase of the monolayer 1T-NbSe$_2$.
Comment: 10 pages, 11 figures
Databáze: OpenAIRE