Density inhomogeneity driven percolation metal-insulator transition and dimensional crossover in graphene nanoribbons

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Transport in graphene nanoribbons with an energy gap in the spectrum is considered in the presence of random charged impurity centers. At low carrier density, we predict and establish that the system exhibits a density inhomogeneity driven two dimensional metal-insulator transition that is in the percolation universality class. For very narrow graphene nanoribbons (with widths smaller than the disorder induced length scale), we predict that there should be a dimensional crossover to the 1D percolation universality class with observable signatures in the transport gap. In addition, there should be a crossover to the Boltzmann transport regime at high carrier densities. The measured conductivity exponent and the critical density are consistent with this percolation transition scenario.
Publisher
AMER PHYSICAL SOC
Issue Date
2008-07
Language
English
Article Type
Article
Keywords

SCATTERING; FIELD

Citation

PHYSICAL REVIEW LETTERS, v.101, no.4

ISSN
0031-9007
DOI
10.1103/PhysRevLett.101.046404
URI
http://hdl.handle.net/10203/201426
Appears in Collection
PH-Journal Papers(저널논문)
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