Graphene via large N I: Renormalization

Abstract

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we demonstrate that, at successively lower energy (temperature or chemical potential) scales, a type of non-Abelian vector potential disorder always asserts itself as the dominant elastic scattering mechanism for generic short-ranged microscopic defect distributions. Vector potential disorder is tied to both elastic lattice deformations ("ripples") and topological lattice defects. We identify several well-defined scaling regimes, for which we provide scaling predictions for the electrical conductivity and thermopower, valid when the inelastic lifetime due to interactions exceeds the elastic lifetime due to disorder. Coulomb interaction effects should figure strongly into the physics of suspended graphene films, where rs > 1; we expect vector potential disorder to play an important role in the description of transport in such films.

25 pages, 21 figures

References in corpus (13)

• Electric Field Effect in Atomically Thin Carbon Films
• The structure of suspended graphene sheets
• Carrier transport in 2D graphene layers
• A self-consistent theory for graphene transport
• Electron transport in disordered graphene
• Effect of Disorder on Transport in Graphene
• Topological delocalization of two-dimensional massless Dirac fermions
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Random resistor network model of minimal conductivity in graphene
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential

Cited by in corpus (14)

• Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene
• Tuning the effective fine structure constant in graphene: opposing effects of dielectric screening on short- and long-range potential scattering
• Quantum critical transport in clean graphene
• Adsorbate-limited conductivity of graphene
• Theory of resonant multiphonon Raman scattering in graphene
• Slow imbalance relaxation and thermoelectric transport in graphene
• Quantum-critical relativistic magnetotransport in graphene
• Electron screening and excitonic condensation in double-layer graphene systems
• Midgap states in corrugated graphene: Ab-initio calculations and effective field theory
• Theory of charged impurity scattering in two dimensional graphene
• Ballistic transport in disordered graphene
• Optical properties of graphene: the Fermi liquid approach
• Dynamical Mean Field Study of The Dirac Liquid
• Local density of states in disordered graphene