Flat band physics in the charge-density wave state of $1T$-TaS$_2$

TL;DR

This paper investigates the electronic band structure of 1T-TaS2, revealing a robust flat band influenced by spin-orbit coupling and symmetry, with potential topological properties impacting strongly correlated electron physics.

Contribution

The study constructs a detailed tight-binding model including CDW order, uncovering the robustness and topological nature of the flat band in 1T-TaS2.

Findings

Identification of a robust flat band in the model

Dependence of flat band topology on SOC and orbital splittings

Implications for correlated electron phenomena in the flat band

Abstract

1$T$-TaS$_2$ is the only insulating transition-metal dichalcogenide (TMD) with an odd number of electrons per unit cell. This insulating state is non-magnetic, making it a potential spin-liquid candidate. The unusual electronic behavior arises from a naturally occurring nearly flat mini-band, where the properties of the strongly correlated states are significantly influenced by the microscopic starting point, necessitating a detailed and careful investigation. We revisit the electronic band structure of 1$T$-TaS$_2$, starting with the tight-binding model without CDW order. Symmetry dictates the nature of spin-orbit coupling (SOC), which, unlike in the 2H TMD structure, allows for strong off-diagonal "spin-flip" terms as well as Ising SOC. Incorporating the CDW phase, we construct a 78$\times$78 tight-binding model to analyze the band structure as a function of various parameters. Our findings show that an isolated flat band is a robust feature of this model. Depending on parameters such as SOC strength and symmetry-allowed orbital splittings, the flat band can exhibit non-trivial topological classifications. These results have significant implications for the strongly correlated physics emerging from interacting electrons in the half-filled or doped flat band.