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Crossover from quantum to Boltzmann transport in graphene Shaffique Adam,1

Summary: Crossover from quantum to Boltzmann transport in graphene
Shaffique Adam,1
Piet W. Brouwer,2
and S. Das Sarma1
1Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA
Received 6 May 2009; published 22 May 2009
We compare a fully quantum-mechanical numerical calculation of the conductivity of graphene to the
semiclassical Boltzmann theory. Considering a disorder potential that is smooth on the scale of the lattice
spacing, we find quantitative agreement between the two approaches away from the Dirac point. At the Dirac
point the two theories are incompatible at weak disorder, although they may be compatible for strong disorder.
Our numerical calculations provide a quantitative description of the full crossover between the quantum and
semiclassical graphene transport regimes.
DOI: 10.1103/PhysRevB.79.201404 PACS number s : 73.23. b, 72.10. d, 73.40. c, 81.05.Uw
Arguably, one of the most intriguing properties of
graphene transport is the nonvanishing "minimum conduc-
tivity" at the Dirac point. The carrier density n in these single
monatomic sheets of carbon can be continuously tuned from
electronlike carriers for large positive gate bias to holelike


Source: Adam, Shaffique - Condensed Matter Theory Center, University of Maryland at College Park


Collections: Physics