  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.
