Theory of third harmonic generation in graphene: a diagrammatic approach
Mesoscale and Nanoscale Physics
2016-05-04 v1
Abstract
We present a finite-temperature diagrammatic perturbation theory of third harmonic generation (THG) in doped graphene. We carry out calculations of the third-order conductivity in the scalar potential gauge, highlighting a subtle cancellation between a Fermi surface contribution, which contains only power laws, and power-law contributions of inter-band nature. Only logarithms survive in the final result. We conclude by presenting quantitative results for the up-conversion efficiency at zero and finite temperature. Our results shed light on the on-going dispute over the dependence of THG on carrier concentration in graphene.
Keywords
Cite
@article{arxiv.1602.00025,
title = {Theory of third harmonic generation in graphene: a diagrammatic approach},
author = {Habib Rostami and Marco Polini},
journal= {arXiv preprint arXiv:1602.00025},
year = {2016}
}
Comments
6 pages, 2 figures