Dislocations in graphene

Abstract

We study the stability and evolution of various elastic defects in a flat graphene sheet and the electronic properties of the most stable configurations. Two types of dislocations are found to be stable: "glide" dislocations consisting of heptagon-pentagon pairs, and "shuffle" dislocations, an octagon with a dangling bond. Unlike the most studied case of carbon nanotubes, Stone Wales defects are unstable in the planar graphene sheet. Similar defects in which one of the pentagon-heptagon pairs is displaced vertically with respect to the other one are found to be dynamically stable. Shuffle dislocations will give rise to local magnetic moments that can provide an alternative route to magnetism in graphene.

References in corpus (20)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• The structure of suspended graphene sheets
• Intrinsic ripples in graphene
• Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
• Atomic Structure of Graphene on SiO2
• High-Resolution Scanning Tunneling Microscopy Imaging of Mesoscopic Graphene Sheets on an Insulating Surface
• On the roughness of single- and bi-layer graphene membranes
• Magnetic nanographite
• Midgap states and charge inhomogeneities in corrugated graphene
• $\pi$-Electron Ferromagnetism in Metal Free Carbon Probed by Soft X-Ray Dichroism
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Electron-electron interactions in graphene sheets
• Adatoms and nanoengineering of carbon
• Electronic properties of curved graphene sheets
• Experimental Evidence for Two-Dimensional Magnetic Order in Proton Bombarded Graphite
• Edge dislocations in crystal structures considered as traveling waves of discrete models
• Discrete models of dislocations and their motion in cubic crystals
• Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model
• Dislocations in cubic crystals described by discrete models

Cited by in corpus (35)

• Properties of Graphene: A Theoretical Perspective
• Topological Defects in Graphene: Dislocations and Grain Boundaries
• Chemical functionalization of graphene with defects
• Finite temperature lattice properties of graphene beyond the quasiharmonic approximation
• Tight-binding model and direct-gap/indirect-gap transition in single-layer and multi-layer MoS${}_2$
• Artificial gauge fields in materials and engineered systems
• Magnetic moments in the presence of topological defects in graphene
• Dislocations and torsion in graphene and related systems
• Electronic States of Graphene Grain Boundaries
• Anisotropy of the Stone-Wales Defect and Warping of Graphene Nano-ribbons: A First-principles Analysis
• Evanescent wave transport and shot noise in graphene: ballistic regime and effect of disorder
• Periodized discrete elasticity models for defects in graphene
• Unpaired Majorana modes on dislocations and string defects in Kitaev's honeycomb model
• Topological Aspects of Charge-Carrier Transmission across Grain Boundaries in Graphene
• Gauge fields and curvature in graphene
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Kaluza-Klein description of geometric phases in graphene
• Negative-curvature spacetime solutions for graphene
• Raman spectra and electron-phonon coupling in disordered graphene with gate-tunable doping
• Complex evolution of the electronic structure from polycrystalline to monocrystalline graphene: generation of a new Dirac point
• Graphene wormhole trapped by external magnetic field
• Model of ripples in graphene
• Ripples in a string coupled to Glauber spins
• Unpaired Majorana modes in the gapped phase of Kitaev's honeycomb model
• Ripples in a graphene membrane coupled to Glauber spins
• The role of pressure on the magnetism of bilayer graphene
• Measuring strain and rotation fields at the dislocation core in graphene
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Valley-dependent Lorentz force and Aharonov-Bohm phase in strained graphene p-n junction
• Theory of defect dynamics in graphene: defect groupings and their stability
• Toy nanoindentation model and incipient plasticity
• Non-singular screw dislocations as the Coulomb gas with smoothed out coupling and the renormalization of the shear modulus
• Rotation effects on the graphene wormhole energy levels
• Non-free gas of dipoles of non-singular screw dislocations and the shear modulus near the melting
• Characterization of the Melting Transition in Two Dimensions at Vanishing External Pressure Using Molecular Dynamics Simulations