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The inhomogenous real-space electronic structure of gapless and gapped disordered bilayer graphene is calculated in the presence of quenched charge impurities. For gapped bilayer graphene we find that for current experimental conditions the amplitude of the fluctuations of the screened disorder potential is of the order of (or often larger than) the intrinsic gap $Delta$ induced by the application of a perpendicular electric field. We calculate the crossover chemical potential, $Delta_{rm cr}$, separating the insulating regime from a percolative regime in which less than half of the area of the bilayer graphene sample is insulating. We find that most of the current experiments are in the percolative regime with $Delta_{rm cr}<<Delta$. The huge suppression of $Delta_{rm cr}$ compared with $Delta$ provides a possible explanation for the large difference between the theoretical band gap $Delta$ and the experimentally extracted transport gap.
We investigate the conductivity $sigma$ of graphene nanoribbons with zigzag edges as a function of Fermi energy $E_F$ in the presence of the impurities with different potential range. The dependence of $sigma(E_F)$ displays four different types of be
We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Greens function technique. By attaching two graphene leads to up
Wrinkling is a ubiquitous phenomenon in two-dimensional membranes. In particular, in the large-scale growth of graphene on metallic substrates, high densities of wrinkles are commonly observed. Despite their prevalence and potential impact on large-s
Since its inception in 2001, the science and technology of epitaxial graphene on hexagonal silicon carbide has matured into a major international effort and is poised to become the first carbon electronics platform. A historical perspective is presen
We report a change of three orders of magnitudes in the resistance of a suspended bilayer graphene flake which varies from a few k$Omega$s in the high carrier density regime to several M$Omega$s around the charge neutrality point (CNP). The correspon