Electron scattering on microscopic corrugations in graphene

2007/06/30 by M. I. Katsnelson, A. K. Geim, A. K. Geǐm · 12 citations
Materials Science · Physics and Astronomy · #Bilayer graphene #Carrier scattering #Charge carrier #Condensed matter physics #Coulomb #Dirac fermion #Electron #Electron mobility #Electron scattering #Graphene #Graphene research and applications #Impurity #Materials science #Mean free path #Nanotechnology #Optics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Range (aeronautics) #Scattering #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1098/rsta.2007.2157

published as Phil. Trans. R. Soc. A 366, 195-204 (2008) · Final version, to be published in Philos. Trans. Royal Soc. A

arxiv created 2007/09/11 · openalex publication_date 2007/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (e.g. due to neutral impurities) is mostly irrelevant for electronic quality of graphene, which is likely to be controlled by charged impurities and ripples (microscopic corrugations of a graphene sheet). The latter are an inherent feature of graphene due to its two-dimensional nature and can also be an important factor in defining the electron mean-free path. We show that certain types of ripples create a long-range scattering potential, similar to Coulomb scatterers, and result in charge-carrier mobility practically independent of carrier concentration, in agreement with experimental observations.

Citations

• Relativistic Quantum Theory
• Berry's Phase and Absence of Back Scattering in Carbon Nanotubes
• Nonlinear screening of charge impurities in graphene
• Molti passi avanti ma resta da fare una lunga strada
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Electric Field Effect in Atomically Thin Carbon Films
• Quantum Hall Ferromagnetism in Graphene
• Atomic Structure of Graphene on SiO2
• Graphene: New bridge between condensed matter physics and quantum electrodynamics
• Two-dimensional atomic crystals
• On the roughness of single- and bi-layer graphene membranes

Cited by

• Substrate-limited electron dynamics in graphene
• Integrating functional oxides with graphene
• Energy transport via multiphonon processes in graphene
• Flexuron: A self-trapped state of electron in crystalline membranes
• Current enhancement due to field-induced dark carrier multiplication in graphene
• Limits on Charge Carrier Mobility in Suspended Graphene due to Flexural Phonons
• Physics of a disordered Dirac point in epitaxial graphene from temperature-dependent magnetotransport measurements
• Quantum effects in graphene monolayers: Path-integral simulations
• Boundaries of subcritical Coulomb impurity region in gapped graphene
• First-principles analysis of electron-phonon interactions in graphene
• Ripples in hexagonal lattices of atoms coupled to Glauber spins
• Midgap states in corrugated graphene: Ab initio calculations and effective field theory