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Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
- Article/chapterEnglish2011
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LIBRIS-ID:oai:gup.ub.gu.se/151855
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https://gup.ub.gu.se/publication/151855URI
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https://doi.org/10.1103/PhysRevB.83.165402DOI
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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We show that a coherent picture of the dc conductivity of monolayer and bilayer graphene at finite electronic densities emerges upon considering that strong short-range potentials are the main source of scattering in these two systems. The origin of the strong short-range potentials may lie in adsorbed hydrocarbons at the surface of graphene. The equivalence among results based on the partial-wave description of scattering, the Lippmann-Schwinger equation, and the T-matrix approach is established. Scattering due to resonant impurities close to the neutrality point is investigated via a numerical computation of the Kubo formula using a kernel polynomial method. We find that relevant adsorbate species originate impurity bands in monolayer and bilayer graphene close to the Dirac point. In the midgap region, a plateau of minimum conductivity of about e2/h (per layer) is induced by the resonant disorder. In bilayer graphene, a large adsorbate concentration can develop an energy gap between midgap and high-energy states. As a consequence, the conductivity plateau is supressed near the edges and a “conductivity gap” takes place. Finally, a scattering formalism for electrons in biased bilayer graphene, taking into account the degeneracy of the spectrum, is developed and the dc conductivity of that system is studied.
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Viana-Gomes, J.
(author)
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Nilsson, Johan,1977Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU)(Swepub:gu)xnijom
(author)
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Mucciolo, E. R.
(author)
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Peres, N. M. R.
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Castro Neto, A. H.
(author)
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Göteborgs universitetInstitutionen för fysik (GU)
(creator_code:org_t)
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In:Physical Review B. Condensed Matter and Materials Physics83:161098-0121
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