Twistronics in graphene-based van der Waals structures

Abstract

The electronic properties of van der Waals (vdW) structures can be substantially modified by the moire superlattice potential, which strongly depends on the twist angle among the compounds. In twisted bilayer graphene (TBG), two low-energy Van Hove singularities (VHSs) move closer with decreasing twist angles and finally become highly non-dispersive flat bands at the magic angle (~ 1.1 degree). When the Fermi level lies within the flat bands of the TBG near the magic angle, Coulomb interaction is supposed to exceed the kinetic energy of the electrons, which can drive the system into various strongly correlated phases. Moreover, the strongly correlated states of flat bands are also realized in other graphene-based vdW structures with an interlayer twist. In this article, we mainly review the recent experimental advances on the strongly correlated physics of the magic-angle TBG (MATBG) and the small-angle twisted multilayer graphene. Lastly we will give out a perspective of this field.

arXiv commentInvited review

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• Scanning tunneling microscopy and spectroscopy of nanoscale twisted bilayer graphene
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• Angle-Dependent {\it Ab initio} Low-Energy Hamiltonians for a Relaxed Twisted Bilayer Graphene Heterostructure
• In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
• Probing the wavefunctions of correlated states in magic angle graphene
• Spatially resolved electronic structure of twisted graphene
• Tunable lattice reconstruction and bandwidth of flat bands in magic-angle twisted bilayer graphene

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• Renormalized Magic Angles in Asymmetric Twisted Graphene Multilayers
• Topological domain-wall states from Umklapp scattering in twisted bilayer graphene