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Vacancy-assisted diffusion in silicon: a three-temperature-regime model.

Damien Caliste1, Pascal Pochet

  • 1Département de Recherche Fondamentale sur la Matière Condensée, SP2M/L_Sim, CEA/Grenoble, F-38054 Grenoble cedex 9, France.

Physical Review Letters
|October 10, 2006
PubMed
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This study reveals three diffusion regimes for silicon divacancies, explaining temperature-dependent migration energy. An analytical model predicts an effective migration energy of approximately 2 eV, dependent on vacancy concentration.

Area of Science:

  • Materials Science
  • Computational Physics
  • Semiconductor Physics

Background:

  • Understanding atomic diffusion mechanisms in silicon is crucial for semiconductor device performance and fabrication.
  • Vacancy-assisted diffusion is a primary transport mechanism in silicon, but its temperature dependence, particularly for divacancies, has been complex to model.
  • Previous experimental studies on divacancy migration energy in silicon have yielded contradictory results, necessitating a refined theoretical framework.

Purpose of the Study:

  • To investigate the temperature dependence of vacancy migration energy in silicon using kinetic lattice Monte Carlo simulations.
  • To explain the observed temperature dependence by identifying distinct diffusion regimes for divacancies.
  • To develop an analytical model to rationalize the simulation results and predict effective migration energies.

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Main Methods:

  • Kinetic lattice Monte Carlo (KLMC) simulations were employed to model vacancy-assisted diffusion in silicon.
  • The simulations incorporated ab initio calculations and experimental data to compute migration energies.
  • An analytical model was developed to rationalize the observed diffusion behavior and predict effective migration energies.

Main Results:

  • The study identified three distinct diffusion regimes for divacancies in silicon, explaining the complex temperature dependence of migration energy.
  • In the intermediate temperature regime, divacancy dissociation significantly influences diffusion, leading to a predicted effective migration energy (E{v}{m}) of approximately 2 eV.
  • The position of this intermediate temperature regime was found to be strongly dependent on the vacancy concentration.

Conclusions:

  • The developed analytical model successfully rationalizes the simulation results and provides a unified explanation for the temperature dependence of divacancy migration.
  • The predicted effective migration energy of ~2 eV offers a valuable parameter for understanding and predicting diffusion processes in silicon.
  • This work offers a new perspective to reconcile previously contradictory experimental findings on silicon divacancy migration.