Magnetoplasmons excitations in graphene for filling factors $\nu \leq 6$

TL;DR

This paper derives the dispersion relations of magnetoplasmons in graphene at filling factors up to 6 using Hartree-Fock approximation, revealing electron-electron interactions significantly renormalize the Fermi velocity.

Contribution

It provides a comprehensive calculation of magnetoplasmon dispersion and optical conductivity in graphene for all transition types at filling factors up to 6, highlighting interaction effects.

Findings

Electron-electron interactions cause strong Fermi velocity renormalization.

Magnetoplasmon dispersion is derived for all transition types.

Optical conductivity components are calculated for these excitations.

Abstract

In the frame of the Hartree-Fock approximation, the dispersion of magnetoplasmons in Graphene is derived for all types of transitions for filling factors $\nu\leq 6$. The optical conductivity components of the magnetoplasmon curves are calculated. It is shown that the electron-electron interactions lead to a strong re-normalization of the apparent Fermi velocity of Graphene which is different for different types of transitions.