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Dimensionality effects on trap-assisted recombination: the Sommerfeld parameter.

Mark E Turiansky1, Audrius Alkauskas2, Chris G Van de Walle1

  • 1Materials Department, University of California, Santa Barbara, CA 93106-5050, United States of America.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|February 2, 2024
PubMed
Summary

The Sommerfeld parameter, crucial for understanding charge density, is derived for one and two dimensions. This condensed matter physics finding shows it suppresses trap-assisted recombination in lower dimensions.

Keywords:
Coulomb interactionSommerfeld parameterdefects and impuritiesdensity functional theoryrecombination mechanisms

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Area of Science:

  • Condensed matter physics
  • Solid-state physics

Background:

  • The Sommerfeld parameter quantifies free-carrier charge density modifications near charged centers.
  • It is established for three-dimensional systems and vital for analyzing trap-assisted recombination in solids.

Purpose of the Study:

  • Derive the Sommerfeld parameter in one and two dimensions.
  • Compare these findings with the established three-dimensional case.
  • Investigate the impact of dimensionality on trap-assisted recombination.

Main Methods:

  • Theoretical derivation of the Sommerfeld parameter for reduced dimensions (1D and 2D).
  • Analytical approximation for the two-dimensional Sommerfeld parameter.
  • Comparative analysis across different dimensionalities.

Main Results:

  • The Sommerfeld parameter was successfully derived for one and two dimensions.
  • An approximate analytical expression for the 2D Sommerfeld parameter was obtained.
  • The study confirms the suppression of trap-assisted recombination with decreasing dimensionality.

Conclusions:

  • The Sommerfeld parameter's behavior is dependent on system dimensionality.
  • Reduced dimensionality, characterized by the Sommerfeld parameter, leads to suppressed trap-assisted recombination.
  • This work extends the understanding of the Sommerfeld parameter beyond 3D systems.