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Moiré bands in twisted double-layer graphene

Open access
Bistritzer, Rafi, MacDonald, Allan H.·2011·Proceedings of the National Academy of Sciences

Abstract

A moiré pattern is formed when two copies of a periodic pattern are overlaid with a relative twist. We address the electronic structure of a twisted two-layer graphene system, showing that in its continuum Dirac model the moiré pattern periodicity leads to moiré Bloch bands. The two layers become more strongly coupled and the Dirac velocity crosses zero several times as the twist angle is reduced. For a discrete set of magic angles the velocity vanishes, the lowest moiré band flattens, and the Dirac-point density-of-states and the counterflow conductivity are strongly enhanced.

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Metadata

Authors
Bistritzer, R., & MacDonald, A. H.
Venue
Proceedings of the National Academy of Sciences
Published
2011-07-05
Volume
108
Issue
30
Pages
12233-12237
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W2127169435
Cited by
3,072
References
2
FWCI
13.48
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Moiré bands in twisted double-layer graphene. https://app.cochat.ai/papers/10.1073/pnas.1108174108
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Bistritzer, R., & MacDonald, A. H. (2011). Moiré bands in twisted double-layer graphene. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.1108174108

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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