2007/02/28 by Eun-Ah Kim, A. H. Castro Neto · 8 citations
Materials Science · Mathematics · Physics and Astronomy · #Bilayer graphene #Carbon Nanotubes in Composites #Computer science #Dimension (graph theory) #Graphene #Graphene research and applications #Materials science #Mathematics #Nanotechnology #Physics #Quantum and electron transport phenomena #Quantum mechanics #Rippling #Theoretical physics #Transistor #Voltage #cond-mat.other
paper · pdf · doi:10.1209/0295-5075/84/57007
published as Europhysics Letters 84, 57007 (2008) · 6 pages, 11 figures. Updated version with new results about the re-hybridization of the electronic orbitals due to rippling of the graphene sheet. The re-hybridization adds the next-to-nearest neighbor hopping effect discussed in the previous version. New reference to recent STM experiments that give support to our theory
arxiv created 2007/10/22 · openalex publication_date 2008/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling added another dimension to the richness of the physics of graphene, scanning single electron transistor images displayed prevalent charge inhomogeneity. The importance of understanding these non-ideal aspects cannot be overstated both from the fundamental research interest since graphene is a unique arena for their interplay, and from the device applications interest since the quality control is a key to applications. We investigate the membrane aspect of graphene and its impact on the electronic properties. We show that curvature generates spatially varying electrochemical potential. Further we show that the charge inhomogeneity in turn stabilizes ripple formation.