Charge Puddles in Graphene Near the Dirac Point

Abstract

The charge carrier density in graphene on a dielectric substrate such as SiO${}_2$ displays inhomogeneities, the so-called charge puddles. Because of the linear dispersion relation in monolayer graphene, the puddles are predicted to grow near charge neutrality, a markedly distinct property from conventional two-dimensional electron gases. By performing scanning tunneling microscopy/spectroscopy on a mesoscopic graphene device, we directly observe the puddles' growth, both in spatial extent and in amplitude, as the Dirac point is approached. Self-consistent screening theory provides a unified description of both the macroscopic transport properties and the microscopically observed charge disorder.

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• The Raman Fingerprint of Graphene
• Electrochemically Top Gated Graphene: Monitoring Dopants by Raman Scattering
• Charged Impurity Scattering in Graphene
• A self-consistent theory for graphene transport
• Electric Field Effect Tuning of Electron-Phonon Coupling in Graphene
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Evidence of the role of contacts on the observed electron-hole asymmetry in graphene
• Spatially resolved spectroscopy of monolayer graphene on SiO2
• Creating and Probing Electron Whispering Gallery Modes in Graphene
• Phase controlled superconducting proximity effect probed by tunneling spectroscopy
• Numbers of donors and acceptors from transport measurements in graphene
• Effective medium theory for disordered two-dimensional graphene

Cited by in corpus (25)

• Hydrodynamics of electrons in graphene
• Exotic Multifractal Conductance Fluctuations in Graphene
• Charge puddles in the bulk and on the surface of the topological insulator BiSbTeSe${}_2$ studied by scanning tunneling microscopy and optical spectroscopy
• Observation of competing, correlated ground states in the flat band of rhombohedral graphite
• Spatial Charge Inhomogeneity and Defect States in Topological Dirac Semimetal Thin Films
• Mixed type I and type II superconductivity due to intrinsic electronic inhomogeneities in the type II Dirac semimetal PdTe2
• Large intravalley scattering due to pseudo-magnetic fields in crumpled graphene
• Lifshitz transition and thermoelectric properties of bilayer graphene
• Raman scattering of graphene based systems in high magnetic fields
• From diffusive to ballistic transport in etched graphene constrictions and nanoribbons
• On equilibrium shapes of charged flat drops
• Graphene disk in a solenoid magnetic potential: Aharonov-Bohm effect without a two-slit-like setup
• Emergence and dynamical properties of stochastic branching in the electronic flows of disordered Dirac solids
• Non-invasive nanoscale potentiometry and ballistic transport in epigraphene nanoribbons
• First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures
• Ambipolar magneto-optical response of ultra-low carrier density topological insulators
• Spin relaxation in disordered graphene: Interplay between puddles and defect-induced magnetism
• Engineering nonlinear Hall effect in bilayer graphene/black phosphorus heterostructures
• Dynamic dielectric function and phonon self-energy from electrons strongly correlated with acoustic phonons in 2D Dirac crystals
• STM/S study of electronic inhomogeneity evolution with gate voltage in graphene: role of screening and charge-state of interface defects
• Electronic transport in a two-dimensional superlattice engineered via self-assembled nanostructures
• Inhomogeneous screening of gate electric field by interface states in graphene FETs
• Controlling the macroscopic electrical properties of reduced graphene oxide by nanoscale writing of electronic channels
• Ultra-low doping and local charge variation in graphene measured by Raman: experiment and simulation
• Anomalous drag in electron-hole condensates with granulated order