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Effect of short- and long-range scattering on the conductivity of graphene: Boltzmann approach vs tight-binding calculations
Adam Mickiewicz University.
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
2010 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 82, no 081414Article in journal (Refereed) Published
Abstract [en]

We present a comparative study of the density dependence of the conductivity of graphene sheets calculated in the tight-binding (TB) Landauer approach and on the basis of the Boltzmann theory. The TB calculations are found to give the same density dependence of the conductivity, σTB∼n, for short- and long-range Gaussian scatterers. In the case of short-range scattering the TB calculations are in agreement with the predictions of the Boltzmann theory going beyond the Born approximation but in qualitative and quantitative disagreement with the standard Boltzmann approach within the Born approximation, predicting σBoltz=const. Even for the long-range Gaussian potential in a parameter range corresponding to realistic systems the standard Boltzmann predictions are in quantitative and qualitative disagreement with the TB results. This questions the applicability of the standard Boltzmann approach within the Born approximation, commonly used for the interpretation of the results of experimental studies of the transport in graphene.

Place, publisher, year, edition, pages
America Physical Society , 2010. Vol. 82, no 081414
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Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-67290DOI: 10.1103/PhysRevB.82.081414OAI: oai:DiVA.org:liu-67290DiVA: diva2:409228
Note
Original Publication: J. W. Klos and Igor Zozoulenko, Effect of short- and long-range scattering on the conductivity of graphene: Boltzmann approach vs tight-binding calculations, 2010, Physical Review B. Condensed Matter and Materials Physics, (82), 081414. http://dx.doi.org/10.1103/PhysRevB.82.081414 Copyright: American Physical Society http://www.aps.org/ Available from: 2011-04-07 Created: 2011-04-07 Last updated: 2011-04-13

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