Exciton Diffusion in a Quantum Dot Ensemble
Mesoscale and Nanoscale Physics
2024-06-04 v3 Disordered Systems and Neural Networks
Abstract
In this theoretical study, we explore F\"orster 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.
Cite
@article{arxiv.2305.02905,
title = {Exciton Diffusion in a Quantum Dot Ensemble},
author = {Karol Kawa and Paweł Machnikowski},
journal= {arXiv preprint arXiv:2305.02905},
year = {2024}
}