Group theory analysis of electrons and phonons in N-layer graphene systems

TL;DR

This paper analyzes the symmetry properties of electrons and phonons in N-layer graphene, deriving selection rules for interactions and exploring effects like double resonance Raman scattering and electric field influences.

Contribution

It provides a comprehensive symmetry-based analysis of electron and phonon interactions in multilayer graphene, including selection rules and resonance processes.

Findings

Derived selection rules for electron-radiation and electron-phonon interactions

Analyzed double resonance Raman scattering in graphene layers

Discussed effects of electric fields on monolayer and bilayer graphene

Abstract

In this work we study the symmetry properties of electrons and phonons in graphene systems as function of the number of layers. We derive the selection rules for the electron-radiation and for the electron-phonon interactions at all points in the Brillouin zone. By considering these selection rules, we address the double resonance Raman scattering process. The monolayer and bilayer graphene in the presence of an applied electric field are also discussed.