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arXiv · 1602.00025

Theory of third harmonic generation in graphene: a diagrammatic approach

Habib Rostami·Marco Polini
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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.

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Habib Rostami, Marco Polini. 2016-01-29. Theory of third harmonic generation in graphene: a diagrammatic approach. https://doi.org/10.1103/physrevb.93.161411

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