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Periodized discrete elasticity models for defects in graphene

2008/05/26 by A. Carpio, L. L. Bonilla
Materials Science · Physics and Astronomy · #Boron and Carbon Nanomaterials Research #Graphene research and applications #Thermal properties of materials #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.78.085406

published as Phys. Rev. B 78, 085406 (2008) · 24 pages, 7 figures; comment on model with 3 slip directions, calculation of defect energies, typos corrected

arxiv created 2008/05/26 · openalex publication_date 2008/08/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The cores of edge dislocations, edge dislocation dipoles, and edge dislocation loops in planar graphene have been studied by means of periodized discrete elasticity models. To build these models, we have found a way to discretize linear elasticity on a planar hexagonal lattice using combinations of difference operators that do not symmetrically involve all the neighbors of an atom. At zero temperature, dynamically stable cores of edge dislocations may be heptagon-pentagon pairs (glide dislocations) or octagons (shuffle dislocations) depending on the choice of initial configuration. Possible cores of edge dislocation dipoles are vacancies, pentagon-octagon-pentagon divacancies, Stone-Wales defects, and 7--5-5--7 defects. While symmetric vacancies, divacancies, and 7--5-5--7 defects are dynamically stable, asymmetric vacancies and 5--7-7--5 Stone-Wales defects seem to be unstable.

Citations