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Multi-ultraflatbands tunability and effect of spin-orbit coupling in twisted bilayer transition metal dichalcogenides

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 Added by Zhen Zhan
 Publication date 2020
  fields Physics
and research's language is English




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Ultraflatbands that have been theoretically and experimentally detected in a bunch of van der Waals stacked materials showing some peculiar properties, for instance, highly localized electronic states and enhanced electron-electron interactions. In this Letter, using an accurate tight-binding model, we study the formation and evolution of ultraflatbands in transition metal dichalcogenides (TMDCs) under low rotation angles. We find that, unlike in twisted bilayer graphene, ultraflatbands exist in TMDCs for almost any small twist angles and their wave function becomes more localized when the rotation angle decreases. Lattice relaxation, pressure and local deformation can tune the width of the flatbands, as well as their localization. Furthermore, we investigate the effect of spin-orbit coupling on the flatbands and discover spin/orbital/valley locking at the minimum of the conduction band at the K point of the Brillouin zone. The ultraflatbands found in TMDCs with a range of rotation angle below $7^circ$, may provide an ideal platform to study strongly correlated states.



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Using a multiscale computational approach, we probe the origin and evolution of ultraflatbands in moire superlattices of twisted bilayer MoS$_2$, a prototypical transition metal dichalcogenide. Unlike twisted bilayer graphene, we find no unique magic angles in twisted bilayer MoS$_2$ for flatband formation. Ultraflatbands form at the valence band edge for twist angles ($theta$) close to 0$^circ$ and at both the valence and conduction band edges for $theta$ close to 60$^circ$, and have distinct origins. For$ theta$ close to 0$^circ$, inhomogeneous hybridization in the reconstructed moire superlattice is sufficient to explain the formation of flatbands. For $theta$ close to 60$^circ$, additionally, local strains cause the formation of modulating triangular potential wells such that electrons and holes are spatially separated. This leads to multiple energy-separated ultraflatbands at the band edges closely resembling eigenfunctions of a quantum particle in an equilateral triangle well. Twisted bilayer transition metal dichalcogenides are thus suitable candidates for the realisation of ordered quantum dot array.
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