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Uncovering spatiotemporal patterns in semiconductor superlattices by efficient data processing tools.

F Terragni1, L L Bonilla1, J M Vega2

  • 1G. Millán Institute for Fluid Dynamics, Nanoscience and Industrial Mathematics, and Department of Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain.

Physical Review. E
|October 16, 2021
PubMed
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New data analysis methods reveal self-sustained current oscillations and electric field pulses in semiconductor superlattices for microwave generation. This enables faster simulations of device performance.

Area of Science:

  • Physics
  • Materials Science
  • Electrical Engineering

Background:

  • Semiconductor superlattices exhibit complex dynamics relevant to microwave generation.
  • Understanding spatiotemporal transport mechanisms is crucial for optimizing device performance.

Purpose of the Study:

  • To analyze time-periodic patterns in semiconductor superlattices using advanced data processing tools.
  • To identify and characterize self-sustained oscillations and traveling electric field pulses.
  • To develop a data-driven reduced order model for efficient system simulations.

Main Methods:

  • Numerical integration of drift-diffusion equations to simulate superlattice behavior.
  • Application of higher-order dynamic mode decomposition (HDMD) for data analysis.

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  • Utilization of spatiotemporal Koopman decomposition for uncovering transport mechanisms.

    • Main Results:

    • Clear identification of asymptotic self-sustained current density oscillations, separating them from transient dynamics.
    • Accurate description of the electric field traveling pulse, including its dispersion diagram.
    • Construction of a preliminary data-driven reduced order model for rapid simulations.

    Conclusions:

    • Advanced data analysis techniques effectively reveal underlying physics in semiconductor superlattices.
    • The developed methods allow for precise characterization of dynamic phenomena and enable efficient modeling.
    • This work facilitates faster design and optimization of semiconductor devices for microwave generation.