Transient and self-limited nanostructures on patterned surfaces

TL;DR

This paper presents a theoretical model explaining the formation and evolution of site-controlled quantum dots on patterned surfaces during epitaxial growth, highlighting the interplay of kinetics and geometry for nanostructure self-assembly.

Contribution

It introduces a novel theoretical scheme that reproduces the time-dependent behavior of nanostructure formation on patterned surfaces, aiding in the design of quantum optical systems.

Findings

The model accurately predicts the evolution of recess and Ga incorporation.

Self-ordering behavior is governed by growth kinetics and surface geometry.

Stationary nanostructure properties depend on alloy composition and growth parameters.

Abstract

Site-controlled quantum dots formed during the deposition of (Al)GaAs layers by metalorganic vapor-phase epitaxy on GaAs(111)B substrates patterned with inverted pyramids result in geometric and compositional self-ordering along the vertical axis of the template. We describe a theoretical scheme that reproduces the experimentally-observed time-dependent behavior of this process, including the evolution of the recess and the increase of Ga incorporation along the base of the template to stationary values determined by alloy composition and other growth parameters. Our work clarifies the interplay between kinetics and geometry for the development of self-ordered nanostructures on patterned surfaces, which is essential for the reliable on-demand design of confined systems for applications to quantum optics.