An Index Theorem for Graphene

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dc.creatorPachos, Jiannis K.
dc.creatorStone, Michael
dc.date2006-07-15
dc.date2007-09-17
dc.date.accessioned2026-07-07T11:26:16Z
dc.date.available2026-07-07T11:26:16Z
dc.descriptionWe consider a graphene sheet folded in an arbitrary geometry, compact or with nanotube-like open boundaries. In the continuous limit, the Hamiltonian takes the form of the Dirac operator, which provides a good description of the low energy spectrum of the lattice system. We derive an index theorem that relates the zero energy modes of the graphene sheet with the topology of the lattice. The result coincides with analytical and numerical studies for the known cases of fullerene molecules and carbon nanotubes and it extend to more complicated molecules. Potential applications to topological quantum computation are discussed.
dc.description4 pages, 1 figure, new version to appear in IJMPB
dc.identifierhttps://arxiv.org/abs/cond-mat/0607394
dc.identifierhttp://arxiv.org/abs/cond-mat/0607394
dc.identifierInt.J.Mod.Phys.B21:5113-5120,2007
dc.identifierdoi:10.1142/S0217979207038228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195772
dc.subjectMaterials Science
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleAn Index Theorem for Graphene
dc.typetext

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