Coulomb interacting Dirac fermions in disordered graphene

TL;DR

This paper investigates how Coulomb interactions affect Dirac fermions in disordered graphene, revealing distinct behaviors in ballistic and diffusive regimes and providing measurable predictions for experiments.

Contribution

It presents a detailed analysis of Coulomb interactions in disordered graphene, highlighting differences between ballistic and diffusive regimes and offering experimental observables.

Findings

Unscreened Coulomb interactions significantly influence Dirac quasiparticles.

Behavior differs between ballistic and diffusive regimes, with qualitative similarities to 2DEG in the diffusive limit.

Calculated quasiparticle width and density of states are accessible via experimental techniques.

Abstract

We study interacting Dirac quasiparticles in disordered graphene and find that an interplay between the unscreened Coulomb interactions and pseudo-relativistic quasiparticle kinematics can be best revealed in the ballistic regime, whereas in the diffusive limit the behavior is qualitatively (albeit, not quantitatively) similar to that of the ordinary 2DEG with parabolic dispersion. We calculate the quasiparticle width and density of states that can be probed by photoemission, tunneling, and magnetization measurements.