Intrinsically-multilayer moiré heterostructures

Abstract

We introduce trilayer and multilayer moiré heterostructures that cannot be viewed from the ``moiré-of-moiré" perspective of helically-twisted trilayer graphene. These ``intrinsically trilayer" moiré systems feature periodic modulation of a local quasicrystalline structure. They open the door to realizing moiré heterostructures with vastly more material constituents because they do not constrain the lattice constants of the layers. In this manuscript, we define intrinsically multilayer patterns, provide a recipe for their construction, derive their local configuration space, and connect the visual patterns to physical observables in material systems.

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References in corpus (7)

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Cited by in corpus (7)

• Multi-scale lattice relaxation in general twisted trilayer graphenes
• Chiral model of twisted bilayer graphene realized in a monolayer
• Multiplicative topological semimetals
• Band theory for heterostructures with interface superlattices
• Electronic analogue of Fourier optics with mass-less Dirac fermions scattered by quantum dot lattice
• Spin and Valley Polarized Multiple Fermi Surfaces of α-RuCl${}_3$/Bilayer Graphene Heterostructure
• Topological domain-wall states from Umklapp scattering in twisted bilayer graphene