RT Conference Proceedings
T1 Dislocations and defects in graphene
A1 Carpio Rodríguez, Ana María
AB Graphene is a two dimensional material whose surprising properties have arisen promising  expectatives. Mathematically, it is described by an hexagonal lattice. This lattice exhibits  geometrical defects: heptagon-pentagon pairs, Stone-Wales defects, vacancies, divacancies. These defects can be described as cores of edge dislocations and dislocation groupings. Their long time stability is then understood analyzing the response of isolated defects to applied forces. In simpler two dimensional lattice models, we argue that  the onsets of both  dislocation motion and dislocation nucleation correspond to  different types of bifurcations. Dislocation motion is associated to global bifurcations in a branch of stationary dislocation solutions to give raise to traveling wave solutions. Homogeneous dislocation nucleation may be described by pitchfork bifurcations in simple  geometries. As the way forces are applied changes, the bifurcation diagram varies. In real graphene lattices, curvature effects are important, specially at the core of defects. These effects are captured by discrete versions of Foppl-Von Karman equations in hexagonal lattices.
YR 2017
FD 2017-06
LK https://hdl.handle.net/20.500.14352/19724
UL https://hdl.handle.net/20.500.14352/19724
LA eng
DS Docta Complutense
RD 18 abr 2025