Exciton Diffusion in a Quantum Dot Ensemble

Abstract

In this theoretical study, we explore Förster resonant energy transfer of a single exciton within a two-dimensional array of self-assembled quantum dots arranged randomly on a circular mesa. Employing the stochastic simulation method, we solve the equation of motion for the density matrix, considering a specified decay rate. Our analysis quantifies diffusion through the mean-square displacement from the initially excited quantum dot, revealing distinct temporal stages: ballistic, normal diffusion, and saturation. Furthermore, we observe power-law localization of the exciton. Complementing our numerical investigations, we develop approximate analytical expressions that closely align with the numerical findings.

References in corpus (3)

• GaAs quantum dots grown by droplet etching epitaxy as quantum light sources
• Diffusion of excitation and power-law localization in long-range-coupled strongly disordered systems
• Spread of Correlations in Strongly Disordered Lattice Systems with Long-Range Coupling