Theory of third-harmonic generation in graphene: A diagrammatic approach

@article{Rostami2016TheoryOT,
  title={Theory of third-harmonic generation in graphene: A diagrammatic approach},
  author={Habib Rostami and Marco Polini},
  journal={Physical Review B},
  year={2016},
  volume={93},
  pages={161411}
}
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… Expand

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