Electronic properties of twisted multilayer graphene

Abstract

Twisted bilayer graphene displays many fascinating properties that can be tuned by varying the relative angle (also called twist angle) between its monolayers. As a remarkable feature, both the electronic flat bands and the corresponding strong electron localization have been obtained at a specific "magic" angle ($\sim 1.1^{\circ }$), leading to the observation of several strongly correlated electronic phenomena. Such a discovery has hence inspired the creation of a novel research field called twistronics, i.e., aiming to explore novel physical properties in vertically stacked 2D structures when tuning the twist angle between the related layers. In this paper, a comprehensive and systematic study related to the electronic properties of twisted multilayer graphene (TMG) is presented based on atomistic calculations. The dependence of both the global and the local electronic quantities on the twist angle and on the stacking configuration are analyzed, fully taking into account atomic reconstruction effects. Consequently, the correlation between structural and electronic properties are clarified, thereby highlighting the shared characteristics and differences between various TMG systems as well as providing a comprehensive and essential overview. On the basis of these investigations, possibilities to tune the electronic properties are discussed, allowing for further developments in the field of twistronics.

34 pages, 17 figures, submitted

References in corpus (12)

• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Evolution of Interlayer Coupling in Twisted MoS2 Bilayers
• Moiré heterostructures as a condensed matter quantum simulator
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
• Numerical studies of confined states in rotated bilayers of graphene
• Designing Ultra-Flat Bands in Twisted Bilayer Materials at Large Twist Angles without specific degree
• Gate tunable topological flat bands in twisted monolayer-bilayer graphene
• Pressure induced gap modulation and topological transitions in twisted bilayer and double bilayer graphene
• Tailoring the band structure of twisted double bilayer graphene with pressure
• Raman spectra of twisted bilayer graphene close to the magic angle
• Strain-induced modulation of Dirac cones and van Hove singularities in twisted graphene bilayer