Effect of topological defects on graphene geometry and stability

Abstract

Abstract:The effect of two basic topological defects, mitosis and the Stone-Wales defect, is studied in the graphene structure. The topological rules of the curvatures due to the occurrence of the defects in different arrangements are determined. Despite the fact that the causes and the probability of these topological defects are not known today, this theoretical work studies the distortions caused by the defects geometry and stability of the graphene structure.

Large‐Range HS‐AFM Imaging of DNA Self‐Assembly through In Situ Data‐Driven Control

“…Notably, the steady-state density of pentagonal to heptagonal defects is close to 2:1, which has been suggested as the energetically lowest defect structure for graphene. [23] The recording of the self-assembly of DNA tiles into a planar crystal on a variety of different size scales demonstrates the capabilities of our method to increase the scanning speed of most AFM scanners by an order of magnitude while fully preserving the lateral range of the scanner, even when measuring in liquid environment. Additionally, the process provides an optimal, but user-adjustable, I-gain that generally yields the best possible results for the system.…”

Symmetry breaking and lattice kirigami: Finite temperature effects

“…Fermions self-interactions [9,10], impurities arising in the fabrication process [11,12], the substrate on which the monolayer graphene sample lies [13], all of them could in principle be responsible for the appearance of a mass gap in the energy spectrum of the quasiparticles propagating on the carbon sheet. The case of crystal defects is particularly interesting: several kinds of structural defects have been isolated and investigated since early experiments, among the others Stone-Wales defects (a pair of pentagons, separated by a pair of heptagons) [14], mitosis defects (a pair of heptagons, separated by a pair of pentagons) [15], single and multiple vacancies, line defects (chains of pentagons, heptagons and hexagons gluing two patches of the crystal) [16], or out of plane carbon adatoms. Quite surprisingly, the competition between the topological features and curvature arising after * flachi@keio.jp † vincenzo.vitagliano@keio.jp the introduction of the defects has shown definitely nontrivial aspects [17].…”

On the Isothermal Geometry of Corrugated Graphene Sheets

“…It is, for energetic reasons, usually the shortest translation vector of the lattice. [11] Let us formulate, basing oneself on the papers [26], [44] and [45], some facts concerning defects of the graphene crystal structure. The properties of 2D solid materials can be strongly affected by structural irregularities.…”

“…Both the bond lengths and the angles becomes distorted." [45] Several examples of the structures containing more pentagon-heptagon pairs but preserving flatness of the graphene sheet are known. For example a structure containing these defects arranged in a line or in a net remains planar.…”

“…For example a structure containing these defects arranged in a line or in a net remains planar. [45] The pentagon-heptagon 5|7 pairs iteratively propagated in the graphene layer produce a structural defect called Stone-Wales wave. [27] The fact that the graphene structure containing Stone-Walles defects remain planar should be related with the fact that this defect can be seen as a dislocation dipole.…”