Crossover from quantum to Boltzmann transport in graphene

Details Crossover from quantum to Boltzmann transport in graphene Crossover from quantum to Boltzmann transport in graphene

2008-11-04

arxiv.org/abs/0811.0609v2

Phys. Rev. B 79, 201404 (R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures; published version

Scientific paper

10.1103/PhysRevB.79.201404

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.

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