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Two-photon absorption in silicon using the real density matrix approach.

David Ziemkiewicz1, David Knez2, Evan P Garcia2

  • 1Institute of Mathematics and Physics, Technical University of Bydgoszcz, Al. Prof. S. Kaliskiego 7, 85-789 Bydgoszcz, Poland.

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This study explains two-photon absorption in indirect gap semiconductors using a real-density matrix approach. The findings clarify this phenomenon in silicon, aligning with experimental data.

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Area of Science:

  • Solid-state physics
  • Quantum optics

Background:

  • Two-photon absorption (TPA) in indirect gap semiconductors is a significant optical process.
  • The underlying mechanisms of TPA in these materials remain incompletely understood.

Purpose of the Study:

  • To develop a theoretical framework for understanding TPA in indirect gap semiconductors.
  • To elucidate the role of excitonic effects in TPA processes.

Main Methods:

  • Application of the real-density matrix approach.
  • Modeling the excitonic response to interacting electromagnetic fields.
  • Derivation of an analytical expression for the TPA coefficient dispersion.

Main Results:

  • An analytical expression for the two-photon absorption coefficient dispersion in indirect gap materials was derived.
  • The model successfully explains experimental trends in bulk silicon TPA.
  • Minimal fitting parameters were required to match existing experimental data.

Conclusions:

  • The real-density matrix approach provides a robust theoretical basis for understanding TPA in indirect gap semiconductors.
  • Excitonic effects are crucial for accurately describing TPA in silicon.
  • This work offers a unified explanation for previously disparate experimental observations in silicon TPA.