Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-03-12
Phys. Rev. B 84, 115409 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
a new appendix is added giving details of the derivation of the analytical expressions for the Boltzmann conducticity
Scientific paper
10.1103/PhysRevB.84.115409
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.
Heinzel Thomas
Xu Hengyi
Zozoulenko I. V.
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