Chiral Decomposition of Twisted Graphene Multilayers with Arbitrary Stacking

Abstract

We formulate the chiral decomposition rules that govern the electronic structure of a broad family of twisted $N+M$ multilayer graphene configurations that combine arbitrary stacking order and a mutual twist. We show that at the magic angle in the chiral limit the low-energy bands of such systems are composed of chiral pseudospin doublets which are energetically entangled with two flat bands per valley induced by the moiré superlattice potential. The analytic analysis is supported by explicit numerical calculations based on realistic parameterization. We further show that applying vertical displacement fields can open up energy gaps between the pseudospin doublets and the two flat bands, such that the flat bands may carry nonzero valley Chern numbers. These results provide guidelines for the rational design of various topological and correlated states in generic twisted graphene multilayers.

6 pages, 4 figures

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Cited by in corpus (8)

• Atypical sliding and Moire ferroelectricity in pure multilayer graphene
• Family of ideal Chern flat bands with arbitrary Chern number in chiral twisted graphene multilayers
• Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers
• Theory of fractional Chern insulator states in pentalayer graphene moiré superlattice
• Magic momenta and three dimensional Landau levels from a three dimensional graphite moiré superlattice
• Perpendicular electronic transport and moiré-induced resonance in twisted interfaces of three-dimensional graphite
• Energy Spectrum Theory of Incommensurate Systems
• Electronic states at twist stacking faults in rhombohedral graphite