Quantum capacitance and Landau parameters of massless Dirac fermions in graphene

TL;DR

This paper provides numerical analysis of the quantum capacitance and Landau parameters of massless Dirac fermions in graphene, highlighting the effects of screening by a nearby metal gate using the random phase approximation.

Contribution

It introduces detailed numerical results for the thermodynamic density of states and Landau parameters in doped graphene, considering screening effects from a metal gate.

Findings

Screening significantly affects quantum capacitance in graphene.

Calculated Landau parameters can be experimentally measured.

Quantified the impact of a metal gate on Dirac fermion interactions.

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.