Second Harmonic Generation in Graphene

TL;DR

This paper presents a theoretical study of second harmonic generation in graphene, revealing conditions for its occurrence and polarization properties of emitted radiation in the classical regime.

Contribution

It develops a microscopic theory for second harmonic generation in graphene considering symmetry and classical electron interactions, highlighting polarization effects.

Findings

Second harmonic generation in ideal graphene depends on wave vector or magnetic field.

Emitted radiation can be strongly circularly polarized.

The theory applies in the classical regime where photon energy is low.

Abstract

We report on theoretical study of second harmonic generation in graphene. Phenomenological analysis based on symmetry arguments is carried out. It is demontrated, that in ideal graphene samples second harmonic generation is possible only if the radiation wave vector or its magnetic field is taken into account. Microscopic theory is developed for the classical regime of radiation interaction with electrons, where photon energy is much smaller than the charge carriers characteristic energy. It is demonstrated, that the emitted radiation can be strongly circularly polarized for the linearly polarized incident wave.