Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-04-14
Phys. Rev. Lett. 101, 046404 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Revised version published in Phys. Rev. Lett. 101, 046404 (2008)
Scientific paper
10.1103/PhysRevLett.101.046404
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.
Adam Shaffique
Cho Sungtae
Fuhrer Michael. S.
Sarma Sankar Das
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