Journal
PHYSICAL REVIEW B
Volume 79, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.201404
Keywords
electrical conductivity; graphene
Funding
- U.S. ONR
- NSF-NRI-SWAN
- Packard Foundation
- NSF [DMR 0705476]
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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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