Ground-state properties of gapped graphene using the random phase approximation

TL;DR

This paper investigates how a band gap influences the ground-state properties of doped graphene, revealing that increasing the gap reduces conductance and charge compressibility, with detailed calculations within the RPA framework.

Contribution

It provides a comprehensive analysis of the band gap effects on various ground-state properties of graphene using the random phase approximation.

Findings

Conductance decreases with increasing band gap.

Charge compressibility decreases as the band gap widens.

Ground-state energies are affected by the band gap.

Abstract

We study the effect of band gap on the ground-state properties of Dirac electrons in a doped graphene within the random phase approximation at zero temperature. Band gap dependence of the exchange, correlation and ground-state energies and the compressibility are calculated. We additionally show that the conductance in the gapped graphene is smaller than gapless one. We also calculate the band gap dependence of charge compressibility and it decreases with increasing the band gap values.