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