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 (26)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of 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
- 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
- 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
- Resonant low-energy electron scattering on short-range impurities in graphene
- Ballistic transport in disordered graphene
- Impurity-assisted tunneling in graphene
- Conductivity of disordered graphene at half filling