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arXiv · 1308.3505

A discrete to continuum analysis of dislocations in nanowire heterostructures

Giuliano Lazzaroni·Mariapia Palombaro·Anja Schlömerkemper
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Abstract

Epitaxially grown heterogeneous nanowires present dislocations at the interface between the phases if their radius is big. We consider a corresponding variational discrete model with quadratic pairwise atomic interaction energy. By employing the notion of Gamma-convergence and a geometric rigidity estimate, we perform a discrete to continuum limit and a dimension reduction to a one-dimensional system. Moreover, we compare a defect-free model and models with dislocations at the interface and show that the latter are energetically convenient if the thickness of the wire is sufficiently large.

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Giuliano Lazzaroni, Mariapia Palombaro, Anja Schlömerkemper. 2013-10-01. A discrete to continuum analysis of dislocations in nanowire heterostructures. https://arxiv.org/abs/1308.3505

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