Quasiparticle properties of graphene in the presence of disorder

TL;DR

This paper investigates how disorder from charged impurities affects quasiparticle properties of graphene's Dirac electrons using a Landau Fermi Liquid framework with GW approximation, revealing a modest reduction in key parameters.

Contribution

It introduces a mode-coupling approach within the GW scheme to account for disorder effects on quasiparticle properties in graphene.

Findings

Quasiparticle Fermi velocity is reduced by 5-15% due to disorder.

Disorder significantly influences density dependence of quasiparticle quantities.

Many-body interactions combined with disorder effects are crucial for accurate modeling.

Abstract

We calculate the quasiparticle properties of chiral two-dimensional Dirac electrons in graphene within the Landau Fermi Liquid scheme based on $GW$ approximation in the presence of disorder. Disorder effects due to charged impurity scattering plays a crucial role in density dependence of quasiparticle quantities. Mode-coupling approach to scattering rate and self-energy in $GW$ approximation for quasiparticle renormalized Fermi velocity and spin-antisymmetric Landau Fermi parameter incorporating the many-body interactions and the disorder effects show reduction of these quantities by 5-15 percent at available experimental charge carrier density region.