Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/21069

TitleContinuum model of the twisted graphene bilayer
Author(s)Santos, J. M. B. Lopes dos
Peres, N. M. R.
Castro Neto, A. H.
KeywordsGraphene
Issue date2012
PublisherAmerican Physical Society
JournalPhysical Review B - Condensed Matter and Materials Physics
Abstract(s)The continuum model of the twisted graphene bilayer (Phys. Rev. Lett. 99, 256802, 2007) is extended to include all types of commensurate structures. The essential ingredient of the model, the Fourier components of the spatially modulated hopping amplitudes, can be calculated analytically, for any type of commensurate structures in the low twist angle limit. We show that the Fourier components that could give rise to a gap in the SE-even structures discussed by Mele (Phys. Rev. B 81, 161405 2010) vanish linearly with angle, whereas the amplitudes that saturate to finite values, as $\theta\to0$, ensure that all low angle structures share essentially the same physics. We extend our previous calculations beyond the validity of perturbation theory, to discuss the disappearance of Dirac cone structure at angles below 1^{\circ}.
TypeArticle
URIhttps://hdl.handle.net/1822/21069
DOI10.1103/PhysRevB.86.155449
ISSN0163-1829
Publisher versionhttp://link.aps.org/doi/10.1103/PhysRevB.86.155449
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CDF - CEP - Artigos/Papers (with refereeing)

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