Diffusion and criticality in undoped graphene with resonant scatterers
arXiv:1006.3299 · doi:10.1103/PhysRevLett.105.266803
Abstract
A general theory is developed to describe graphene with arbitrary number of isolated impurities. The theory provides a basis for an efficient numerical analysis of the charge transport and is applied to calculate the minimal conductivity of graphene with resonant scatterers. In the case of smooth resonant impurities conductivity grows logarithmically with increasing impurity concentration, in agreement with renormalization group analysis for the symmetry class DIII. For vacancies (or strong on-site potential impurities) the conductivity saturates at a constant value that depends on the vacancy distribution among two sublattices as expected for the symmetry class BDI.
4 pages, 2 figures
References in corpus (35)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Ultrahigh electron mobility in suspended graphene
- Control of graphene's properties by reversible hydrogenation
- Anderson Transitions
- Andreev reflection and Klein tunneling in graphene
- Bipolar supercurrent in graphene
- Quantum-limited shot noise in graphene
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Electronic transport in graphene: A semi-classical approach including midgap states
- Electron transport in disordered graphene
- Resonant scattering by realistic impurities in graphene
- On resonant scatterers as a factor limiting carrier mobility in graphene
- Modeling electronic structure and transport properties of graphene with resonant scattering centers
- Elastic scattering theory and transport in graphene
- Impurity States in Graphene
- Shot Noise in Ballistic Graphene
- Monovalent impurities on graphene: midgap states and migration barriers
- Adsorbate-limited conductivity of graphene
- Quantum criticality and minimal conductivity in graphene with long-range disorder
- Electrostatic confinement of electrons in an integrable graphene quantum dot
- Orthogonality catastrophe and Kondo effect in graphene
- Long-Range Interaction Between Adatoms in Graphene
- Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
- Charge transport in graphene with resonant scatterers
- Resonant low-energy electron scattering on short-range impurities in graphene
- Ordered states of adatoms on graphene
- Ballistic transport in disordered graphene
- Impurity-assisted tunneling in graphene
- Conductivity of disordered graphene at half filling
- Uncovering the Dominant Scatterer in Graphene Sheets on SiO2
- Degeneracy breaking and intervalley scattering due to short-ranged impurities in finite single-wall carbon nanotubes
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- Coulomb interaction in graphene: Relaxation rates and transport
- Conductivity of graphene with resonant and non-resonant adsorbates
- Conductivity of suspended graphene at the Dirac point
- Anderson localization in two-dimensional graphene with short-range disorder: One-parameter scaling and finite-size effects
- Magnetism and interaction-induced gap opening in graphene with vacancies or hydrogen adatoms: Quantum Monte Carlo study
- Anderson localization and topological transition in Chern insulators
- Optimal traps in graphene
- Band dispersion of graphene with structural defects
- Density of states in a two-dimensional chiral metal with vacancies
- Enhanced Screening in Chemically Functionalized Graphene
- Quantum Hall criticality and localization in graphene with short-range impurities at the Dirac point
- Lévy flights due to anisotropic disorder in graphene
- Graphene with vacancies: supernumerary zero modes
- Resonant scattering in graphene with a gate-defined chaotic quantum dot
- Gate tunable quantum transport in double layer graphene
- Symmetry-protected coherent transport for diluted vacancies and adatoms in graphene
- Adatoms and Anderson localization in graphene
- Color-dependent conductance of graphene with adatoms
- Electronic transport in graphene nanoribbons with sublattice-asymmetric doping
- Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
- Effect of weak impurities on electronic properties of graphene: functional renormalization-group analysis
- Pushing the limit of quantum transport simulations
- Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
- Conductivity of Graphene with Resonant Adsorbates: Beyond the Nearest Neighbor Hopping Model
- Magnetic, charge, and transport properties of graphene nanoflakes
- Genuine topological Anderson insulator from impurity induced chirality reversal
- A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers
- Functionalized Graphene in Quantizing Magnetic Field: The case of bunched impurities
- Electronic transport in graphene with particle-hole-asymmetric disorder