Interaction corrections to the polarization function of graphene

TL;DR

This paper investigates the first-order interaction corrections to graphene's polarization function, enhancing the understanding of its dielectric and conductive properties beyond the random-phase approximation, with results aligning well with experimental data.

Contribution

It provides a detailed calculation of interaction corrections to graphene's polarization function at arbitrary momentum and frequency, extending theoretical understanding beyond RPA.

Findings

Static dielectric constant agrees with recent experiments

Enhanced accuracy in dielectric and conductivity calculations

First-order interaction effects are significant for graphene properties

Abstract

The first-order interaction correction to the irreducible polarization function of pristine graphene is studied at arbitrary relation between momentum and frequency. The results are used to calculate the dielectric function and the dynamical conductivity of graphene beyond the standard random-phase approximation. The computed static dielectric constant compares favorably with recent experiments.