Quantum capacitance and compressibility of graphene: The role of Coulomb interactions

Abstract

Many-body effects on quantum capacitance, compressibility, renormalized Fermi velocity, kinetic and interaction energies of massless Dirac electrons in graphene, induced by the Coulomb interactions, are analyzed theoretically in the first-order, Hartree-Fock and random phase approximations. Recent experimental data on quantum capacitance and renormalized Fermi velocity are analyzed and compared with the theory. The bare Fermi velocity and the effective dielectric constants are obtained from the experimental data. A combined effect of Coulomb interactions and Gaussian fluctuations of disorder potential is considered.

arXiv comment9 pages, 9 figures; insets to Figs. 6, 9 and some additional explanations were added

References in corpus (33)

• The electronic properties of graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Properties of Graphene: A Theoretical Perspective
• Dynamical polarization of graphene at finite doping
• Dirac cones reshaped by interaction effects in suspended graphene
• Origin of Spatial Charge Inhomogeneity in Graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Interaction phenomena in graphene seen through quantum capacitance
• Density of states and zero Landau level probed through capacitance of graphene
• Quantum critical scaling in graphene
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Many-body interactions in quasi-freestanding graphene
• Chirality and Correlations in Graphene
• Ground-state of graphene in the presence of random charged impurities
• Quantum capacitance and density of states of graphene
• Density-Functional Theory of Graphene Sheets
• Graphene: A Pseudochiral Fermi Liquid
• Quantized Landau level spectrum and its density dependence
• Disorder-induced temperature-dependent transport in graphene: Puddles, impurities, activation, and diffusion
• Accurate determination of electron-hole asymmetry and next-nearest neighbor hopping in graphene
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Why does graphene behave as a weakly interacting system?
• Fermi Velocity Enhancement in Monolayer and Bilayer Graphene
• Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
• Velocity renormalization and anomalous quasiparticle dispersion in extrinsic graphene
• Electronic compressibility of graphene: The case of vanishing electron correlations and the role of chirality
• 1/N Expansion in Correlated Graphene
• Temperature-dependent compressibility in graphene and two-dimensional systems
• Effect of disorder on the ground-state properties of graphene
• Compressibility of graphene
• Quantum capacitance and Landau parameters of massless Dirac fermions in graphene

Cited by in corpus (11)

• Hydrodynamic and Ballistic AC transport in 2D Fermi Liquids
• Renormalization of the conduction band spectrum in HgTe quantum wells by electron-electron interaction
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Quantum capacitance oscillations in graphene under crossed magnetic and electric fields
• Quantum capacitance of double-layer graphene
• Temperature-dependent many-body effects in Dirac-Weyl materials: Interacting compressibility and quasiparticle velocity
• Dynamic negative capacitance regime in GeTe Rashba ferroelectric
• Generalized virial theorem for massless electrons in graphene and other Dirac materials
• Many-body renormalization of Landau levels in graphene due to screened Coulomb interaction
• Virial theorem, boundary conditions, and pressure for massless Dirac electrons
• Nanoantenna properties of graphene membrane. Quantum theory