Conductivity and scattering in graphene bilayers: Numerically exact results versus Boltzmann approach

Hengyi Xu, T. Heinzel, and I. V. Zozoulenko
Phys. Rev. B 84, 115409 – Published 12 September 2011

Abstract

We derive analytical expressions for the conductivity of bilayer graphene (BLG) using the Boltzmann approach within the the Born approximation for a model of Gaussian disorders describing both short- and long-range impurity scattering. The range of validity of the Born approximation is established by comparing the analytical results to exact tight-binding numerical calculations. A comparison of the obtained density dependencies of the conductivity with experimental data shows that the BLG samples investigated experimentally so far are in the quantum scattering regime where the Fermi wavelength exceeds the effective impurity range. In this regime both short- and long-range scattering lead to the same linear density dependence of the conductivity. Our calculations imply that bilayer and single-layer graphene have the same scattering mechanisms. We also provide an upper limit for the effective, density-dependent spatial extension of the scatterers present in the experiments.

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  • Received 11 March 2011

DOI:https://doi.org/10.1103/PhysRevB.84.115409

©2011 American Physical Society

Authors & Affiliations

Hengyi Xu and T. Heinzel

  • Condensed Matter Physics Laboratory, Heinrich-Heine-Universität, Universitätsstraße 1, D-40225 Düsseldorf, Germany

I. V. Zozoulenko*

  • Solid State Electronics, Department of Science and Technology (ITN), Linköping University, S-60174 Norrköping, Sweden

  • *igor.zozoulenko@itn.liu.se

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Vol. 84, Iss. 11 — 15 September 2011

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