Tight-binding theory of graphene bending

I. Nikiforov, E. Dontsova, R. D. James, T. Dumitricǎ

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41 Scopus citations


We model bent graphene as a large-radius (>1 nm) single-walled carbon nanotube in order to uncover the origin of its bending rigidity. An analytic formula based on the Hückel molecular orbital theory connects the finite resistance to bending directly to the curvature-induced torsional misalignment of the π orbitals no longer of pure p character. The analytical predictions are supported by direct density functional theory-based tight-binding objective molecular dynamics calculations. Our tight-binding theory also gives useful insight into modeling graphene bending with continuum plate mechanics and classical interatomic potentials.

Original languageEnglish (US)
Article number155437
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number15
StatePublished - Apr 30 2014


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