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- W3100175870 abstract "A number of moir'e graphene systems have nearly flat topological bands where electron motion is strongly correlated. Though microscopically these systems are only quasiperiodic, they can typically be treated as translation invariant to an excellent approximation. Here we reconsider this question for magic angle twisted bilayer graphene that is nearly aligned with a hexagonal boron nitride (hBN) substrate. We carefully study the effect of the periodic potential induced by hBN on the low energy physics. The combination of this potential and the moir'e lattice produced by the twisted graphene generates a quasiperiodic term that depends on the alignment angle between hBN and the moir'e graphene. We find that the alignment angle has a significant impact on both the band gap near charge neutrality and the behavior of electrical transport. We also introduce and study toy models to illustrate how a quasiperiodic potential can give rise to localization and change in transport properties of topological bands." @default.
- W3100175870 created "2020-11-23" @default.
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- W3100175870 date "2021-03-04" @default.
- W3100175870 modified "2023-10-14" @default.
- W3100175870 title "Quasiperiodicity, band topology, and moiré graphene" @default.
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- W3100175870 doi "https://doi.org/10.1103/physrevb.103.115110" @default.
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