Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers

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.

Viana-Gomes, J. (author)
Nilsson, Johan,1977Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU)(Swepub:gu)xnijom (author)
Mucciolo, E. R. (author)
Peres, N. M. R. (author)
Castro Neto, A. H. (author)
Göteborgs universitetInstitutionen för fysik (GU) (creator_code:org_t)

By the author/editor: Ferreira, Aires; Viana-Gomes, J.; Nilsson, Johan, ...; Mucciolo, E. R.; Peres, N. M. R.; Castro Neto, A. ...

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Physical Science ...; and Condensed Matter ...

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