Two-photon absorption

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In this tutorial we will show how to calculate two-photon absorption(TPA) in bulk silicon, following the approach descried in Ref. [1].
In this tutorial we suppose you are already familiar with the non-linear response using the Yambo code.
If it is not the case please study the previous tutorials: Linear response using Dynamical Berry Phase and Real time approach to non-linear response (SHG).

The tutorial is divided in different steps from the DFT calculation to the final TPA spectrum. For the calculation of the TPA we will use the real-time approach proposed in Ref. [2]

DFT calculations

Here we provide input files for QuantumEspresso both the self-consistent calculation and the non-self-consistent: QE_silicon.tgz
Run them, import the wave-function in Yambo and run the setup. (see previous tutorials).

Removing symmetries

Calculations at different field intensities

Use Richardson extrapolation to extract the TPA

References

  1. Two-photon absorption in two-dimensional materials: The case of hexagonal boron nitride Claudio Attaccalite, Myrta Grüning, Hakim Amara, Sylvain Latil, and François Ducastelle Phys. Rev. B 98, 165126 (2018)
  2. Nonlinear optics from an ab initio approach by means of the dynamical Berry phase: Application to second- and third-harmonic generation in semiconductors, C. Attaccalite and M. Grüning, Phys. Rev. B 88, 235113(2013)