Quantum capacitance and Landau parameters of massless Dirac fermions in graphene

Abstract

We present extensive numerical results for the thermodynamic density of states (i.e. quantum capacitance) of a two-dimensional massless Dirac fermion fluid in a doped graphene sheet. In particular, by employing the random phase approximation, we quantify the impact of screening exerted by a metal gate located nearby a graphene flake. Finally, we calculate the spin- and circularly-symmetric Landau parameter, which can be experimentally extracted from independent measurements on the same setup of the quantum capacitance and quasiparticle velocity.

7 pages, 5 figures, to be published in a Special Issue of Annalen der Physik on "Two-dimensional Materials: Electronic Structure and Many-Body Effects", edited by F. Guinea, M.I. Katsnelson, and T.O. Wehling

References in corpus (14)

• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Excitonic Effects on the Optical Response of Graphene and Bilayer Graphene
• Interaction phenomena in graphene seen through quantum capacitance
• Density of states and zero Landau level probed through capacitance of graphene
• Chirality and Correlations in Graphene
• Graphene: A Pseudochiral Fermi Liquid
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Measurement of the electronic compressibility of bilayer graphene
• Fermi Velocity Enhancement in Monolayer and Bilayer Graphene
• Theory of Coulomb drag for massless Dirac fermions
• Compressibility of bilayer graphene
• Electronic compressibility of graphene: The case of vanishing electron correlations and the role of chirality
• Compressibility of graphene

Cited by in corpus (4)

• Acoustic plasmons at the crossover between the collisionless and hydrodynamic regimes in two-dimensional electron liquids
• Quantum capacitance and compressibility of graphene: The role of Coulomb interactions
• Transition from acoustic plasmon to electronic sound in graphene
• Semiclassical theory for plasmons in two-dimensional inhomogeneous media