Computational Analysis of Low-Energy Dislocation Configurations in Graded Layers

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ID: 111608
2020
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Abstract
Graded layers are widely exploited in semiconductor epitaxy as they typically display lower threading dislocation density with respect to constant-composition layers. However, strain relaxation occurs via a rather complex distribution of misfit dislocations. Here we exploit a suitable computational approach to investigate dislocation distributions minimizing the elastic energy in overcritical constant-composition and graded layers. Predictions are made for SiGe/Si systems, but the methodology, based on the exact (albeit in two dimensions and within linear elasticity theory) solution of the stress field associated with a periodic distribution of defects, is general. Results are critically compared with experiments, when possible, and with a previous mean-field model. A progressive transition from one-dimensional to two-dimensional distributions of defects when continuous linear grading is approached is clearly observed. Interestingly, analysis of the low-energy distribution of dislocations reveals close analogies with typical pile-ups as produced by dislocation multiplication.
Reference Key
lanzoni2020crystalscomputational Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Daniele Lanzoni;Fabrizio Rovaris;Francesco Montalenti;Lanzoni, Daniele;Rovaris, Fabrizio;Montalenti, Francesco;
Journal crystals
Year 2020
DOI
10.3390/cryst10080661
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