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Dislocations in nanowire heterostructures: from discrete to continuum
Author(s) -
Lazzaroni Giuliano,
Palombaro Mariapia,
Schlömerkemper Anja
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310260
Subject(s) - heterojunction , nanowire , limit (mathematics) , condensed matter physics , convergence (economics) , dimension (graph theory) , zero (linguistics) , materials science , physics , nanotechnology , mathematical analysis , mathematics , combinatorics , economic growth , economics , linguistics , philosophy
We discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma‐convergence, we establish the minimal energies associated to defect‐free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)