Surface plasmon for graphene in the Dirac equation model

TL;DR

This paper demonstrates the existence of undamped surface electromagnetic modes in graphene, modeled by the Dirac equation, which propagate along the material and are observable at zero temperature.

Contribution

It provides a theoretical prediction of surface plasmon modes in graphene using the Dirac equation framework and polarization tensor analysis.

Findings

Surface modes exist in graphene at zero temperature.

Surface modes are undamped and propagate along the graphene sheet.

Modes appear in TE polarization.

Abstract

We consider single-layer plane graphene with electronic excitations described by the Dirac equation. Using a known representation of the polarization tensor in terms of the spinor loop we show the existence of surface modes, i.e., of undamped in time excitations of the \elm field, propagating along the graphene. These show up in the TE polarization and exist at zero temperature.