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High-Harmonic Generation in Mott Insulators.

Yuta Murakami1, Martin Eckstein2, Philipp Werner1

  • 1Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland.

Physical Review Letters
|August 18, 2018
PubMed
Summary
This summary is machine-generated.

High-harmonic generation in Mott insulators shows distinct behaviors under strong and weak AC fields. Mott insulators exhibit stronger harmonic intensity compared to semiconductors, revealing insights into electron dynamics.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Optics
  • Materials Science

Background:

  • High-harmonic generation (HHG) is a nonlinear optical process.
  • Mott insulators are materials with strong electron-electron interactions.
  • Understanding HHG in correlated insulators is crucial for advanced materials and light sources.

Purpose of the Study:

  • Investigate HHG in time-periodic steady states of wide-gap Mott insulators under AC driving.
  • Analyze the influence of strong and weak fields on harmonic intensity and cutoff energies.
  • Compare HHG in Mott insulators with semiconductor models.

Main Methods:

  • Floquet dynamical mean-field theory (DMFT).
  • Theoretical modeling of AC-driven Mott insulators.
  • Analysis of electron-hole pair dynamics and recombination.

Main Results:

  • In strong fields, HHG shows multiple plateaus with cutoff energies scaling with Coulomb interaction (U) and field strength (E0).
  • Localized doublon-holon pairs contribute to plateau formation in the strong-field regime.
  • In weak fields, a single plateau arises from itinerant doublon-holon recombination, with cutoff energies related to the band gap (Δgap).
  • Mott insulators exhibit stronger HHG intensity than comparable semiconductors.

Conclusions:

  • The study elucidates the distinct mechanisms governing HHG in Mott insulators across different field regimes.
  • Mott insulators offer potential for enhanced HHG compared to conventional semiconductors.
  • The findings provide a theoretical framework for controlling and optimizing HHG in correlated materials.