Coulomb Screening of 2D Massive Dirac Fermions

TL;DR

This paper models 2D massive Dirac fermions interacting via Coulomb forces to study screening effects in gapped graphene, providing explicit calculations of polarization functions at finite temperature and density.

Contribution

It introduces a unified model for massive Dirac fermions that reproduces various previous results and explicitly analyzes Coulomb screening in gapped graphene.

Findings

Explicit polarization function calculations at finite temperature and density.

Comparison of screening effects between massive and massless Dirac fermions.

Reproduction of previous theoretical results within a unified framework.

Abstract

A model of 2D massive Dirac fermions, interacting with a instantaneous $1/r$ Coulomb interaction, is presented to mimic the physics of gapped graphene. The static polarization function is calculated explicitly to analyze screening effect at the finite temperature and density. Results are compared with the massless case . We also show that various other works can be reproduced within our model in a straightforward and unified manner.