2008/04/30 by Shaffique Adam, S. Adam, S. Cho +4 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Graphene research and applications #Nanopore and Nanochannel Transport Studies #Surface and Thin Film Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.101.046404
published as Phys. Rev. Lett. 101, 046404 (2008) · Revised version published in Phys. Rev. Lett. 101, 046404 (2008)
arxiv created 2008/07/23 · openalex publication_date 2008/07/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.