Electronic localization in twisted bilayer MoS${}_2$ with small rotation angle

Abstract

Moiré patterns are known to confine electronic states in transition metal dichalcogenide bilayers, thus generalizing the notion of magic angles discovered in twisted bilayer graphene to semiconductors. Here, we present a revised Slater-Koster tight-binding model that facilitates the first reliable and systematic studies of such states in twisted bilayer MoS${}_2$ for the whole range of rotation angles $\theta$. We show that isolated bands appear at low energy for $\theta \lesssim 5-6^{\circ }$. Moreover, these bands become "flatbands", characterized by a vanishing average velocity, for the smallest angles $\theta \lesssim 2^{\circ }$.

13 pages, 14 figures

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• Exciton Proliferation and Fate of the Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Relaxation effects in twisted bilayer molybdenum disulfide: structure, stability, and electronic properties
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Chiral valley phonons and flat phonon bands in moiré materials
• Flat-band plasmons in twisted bilayer transition metal dichalcogenides
• Topological multiferroic order in twisted transition metal dichalcogenide bilayers
• Evolution of flat bands in MoSe${}_2$/WSe${}_2$ moiré lattices: A study combining machine learning and band unfolding methods
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
• Tuning flat bands by interlayer interaction, spin-orbital coupling, and external fields in twisted homotrilayer MoS${}_2$
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Influence of different exchange-correlation potentials on twisted structures of bilayer XS2 (X= Mo, Cr)
• Emergence of flat bands in the quasicrystal limit of boron nitride twisted bilayers
• Tunneling in an anisotropic cubic Dirac semi-metal
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Comparative Analysis of Tight-Binding models for Transition Metal Dichalcogenides
• Tunable bandgaps and flat bands in twisted bilayer biphenylene carbon
• Atomic relaxation and electronic structure in twisted bilayer MoS2 with rotation angle of 5.09 degrees
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Electrically tunable MoSe${}_2$/WSe${}_2$ heterostructure-based quantum dot
• The fate of disorder in twisted bilayer graphene near the magic angle