A theoretical model was suggested which described a new type of topological defect in condensed matter, namely the hyperdislocations in networks of misfit dislocations at film/substrate interfaces. Formulae for elastic characteristics of misfit dislocation networks with hyper-dislocations, such as elastic moduli and the hyper-dislocation energy, were found. With these formulae, the anisotropy of the misfit dislocation networks and the dependence of the hyperdislocation energy upon film thickness were analyzed.

Hyperdislocations in Misfit Dislocation Networks in Solid Films. I.A.Ovidko, A.G.Sheinerman: Journal of Physics - Condensed Matter, 2003, 15[12], 2127-35