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Self-assembled quantum dots: crossover from kinetically controlled to thermodynamically limited growth
M Meixner1, E Schöll, V A Shchukin
1Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany.
Physical Review Letters
|December 12, 2001
Summary
Kinetic Monte Carlo simulations reveal quantum dot growth behavior. Initially kinetically controlled, island size depends on temperature, but longer times lead to thermodynamic equilibrium.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Computational Physics
Background:
- Quantum dots (QDs) are crucial nanomaterials with size-dependent electronic and optical properties.
- Understanding QD self-organized growth in strained semiconductor systems is key to controlling their characteristics.
- Contradictory kinetic versus thermodynamic behaviors in QD growth have been observed, requiring further investigation.
Purpose of the Study:
- To resolve the apparent contradictions between kinetic and thermodynamic behaviors during quantum dot growth.
- To investigate the temperature dependence of average quantum dot size and dispersion.
- To elucidate the transition from kinetically controlled growth to thermodynamic equilibrium.
Main Methods:
- Kinetic Monte Carlo (KMC) simulations were employed to model the self-organized growth of quantum dots.
- Simulations focused on strained semiconductor systems to capture realistic growth dynamics.
- Analysis involved tracking quantum dot size distribution and dispersion over simulation time.
Main Results:
- Quantum dot size distribution immediately after deposition is kinetically controlled.
- Smaller islands form at lower temperatures, while larger islands form at higher temperatures during initial growth.
- Extended simulation times lead to equilibration, demonstrating a crossover effect in size distributions consistent with thermodynamic predictions.
Conclusions:
- The study successfully reconciles kinetic and thermodynamic aspects of quantum dot growth.
- Temperature plays a critical role in determining initial quantum dot size and dispersion.
- The transition to thermodynamic equilibrium is observed, validating theoretical predictions.