Correlations between Optical Properties and Voronoi-Cell Area of Quantum Dots

Matthias C. Löbl, Liang Zhai, Jan-Philipp Jahn, Julian Ritzmann, Yongheng Huo, Andreas D. Wieck, Oliver G. Schmidt, Arne Ludwig, Armando Rastelli, Richard J. Warburton

Published 2019-02-26Version 1

Semiconductor quantum dots (QDs) have been established as excellent photon emitters during the last decade. A QD can generate highly indistinguishable single-photons at a high rate. For application in quantum communication and integration in hybrid systems, control of the QD optical properties is essential. Understanding the connection between the optical properties of a QD and the growth process is therefore important. Here, we show for GaAs QDs, grown by infilling droplet-etched nano-holes, that the emission wavelength, neutral-to-charged exciton splitting, and diamagnetic shift are strongly correlated with the capture zone-area, an important concept from nucleation theory. Our analysis relies on photoluminescence-imaging and post-experiment determination of the QD-positions and the associated Voronoi-cells. The experiments show that the capture-zone model applies to the growth of this system even in the limit of a low QD-density in which Al-atoms diffuse over micrometer distances. The strong correlations between the various QD parameters facilitate preselection of QDs for applications with specific requirements on the QD properties; they also suggest that a narrowed QD distribution will result if QD growth on a regular lattice can be achieved.