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Density Inhomogeneity Driven Percolation Metal-Insulator Transition and Dimensional Crossover in Graphene Nanoribbons
 

Summary: Density Inhomogeneity Driven Percolation Metal-Insulator Transition
and Dimensional Crossover in Graphene Nanoribbons
S. Adam,1
S. Cho,2
M. S. Fuhrer,2
and S. Das Sarma1,2
1
Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
2
Center for Nanophysics and Advanced Materials, Department of Physics, University of Maryland,
College Park, Maryland 20742-4111, USA
(Received 16 April 2008; published 23 July 2008)
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.

  

Source: Adam, Shaffique - Condensed Matter Theory Center, University of Maryland at College Park
Fuhrer, Michael S - Center for Superconductivity Research & Department of Physics, University of Maryland at College Park
Rubloff, Gary W. - Institute for Systems Research, University of Maryland at College Park

 

Collections: Materials Science; Physics