Direct strain and elastic energy evaluation in rolled-up semiconductor tubes by x-ray micro-diffraction

TL;DR

This paper demonstrates how x-ray micro-diffraction can directly measure strain and elastic energy in rolled-up semiconductor tubes, combining experimental data with elasticity theory to analyze strain relaxation.

Contribution

It introduces a method integrating x-ray diffraction with continuum elasticity theory to evaluate strain and elastic energy in rolled-up semiconductor structures, including dislocated layers.

Findings

Quantitative assessment of strain relaxation in semiconductor tubes.

Evaluation of elastic energy reduction due to rolling.

Discussion of technique limitations and theoretical model accuracy.

Abstract

We depict the use of x-ray diffraction as a tool to directly probe the strain status in rolled-up semiconductor tubes. By employing continuum elasticity theory and a simple model we are able to simulate quantitatively the strain relaxation in perfect crystalline III-V semiconductor bi- and multilayers as well as in rolled-up layers with dislocations. The reduction in the local elastic energy is evaluated for each case. Limitations of the technique and theoretical model are discussed in detail.