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

 Title: Continuum model of the twisted graphene bilayer Author(s): Santos, J. M. B. Lopes dosPeres, N. M. R.Castro Neto, A. H. Keywords: Graphene Issue date: 2012 Publisher: American Physical Society Journal: Physical 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}. Type: Article URI: https://hdl.handle.net/1822/21069 DOI: 10.1103/PhysRevB.86.155449 ISSN: 0163-1829 Publisher version: http://link.aps.org/doi/10.1103/PhysRevB.86.155449 Peer-Reviewed: yes Access: Open access Appears in Collections: CDF - CEP - Artigos/Papers (with refereeing)

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