Moiré pattern as a magnifying glass for strain and dislocations in van der Waals heterostructures

Cosma, Diana A.; Wallbank, John; Cheianov, Vadim; Fal’ko, Vladimir I.

doi:10.1039/c4fd00146j

Cited by 43 publications

(53 citation statements)

References 24 publications

(57 reference statements)

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“…4b and c visualize that the point defect in the moir e lattice is associated with a pentagoneheptagon (5e7) defect in the graphene lattice (red atoms in Fig. 4b), i.e., the moir e lattice magnifies the underlying atomic defect, as has been pointed out already by Cosma et al [52]. The 5e7 defect is the dislocation core for two partial edge dislocations (blue lines) with a Burgers vector a Gr corresponding to a primitive translation in the graphene lattice.…”

Section: Etching Of the Closed Gr Layer On Ir(111)mentioning

confidence: 75%

Etching of graphene on Ir(111) with molecular oxygen

Schröder

Grånäs

Gerber

et al. 2016

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Section: Etching Of the Closed Gr Layer On Ir(111)mentioning

confidence: 75%

Etching of graphene on Ir(111) with molecular oxygen

Schröder

Grånäs

Gerber

et al. 2016

Carbon

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“…The geometry of a moiré pattern, or superlattice as it may be called, is described in detail in several recent papers [19,20,21,22,23] for the case of two hexagonal lattices placed rigidly in contact. This arrangement is shown graphically in Fig.…”

Section: Moiré Patterns As Arrays Of Vdw Dislocationsmentioning

confidence: 99%

Toward Moiré engineering in 2D materials via dislocation theory

Pochet

McGuigan

Coraux

et al. 2017

Applied Materials Today

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We present a framework that explains the strong connection in 2D materials between mechanics and electronic structure, via dislocation theory. Within this framework, moiré patterns created by layered 2D materials may be understood as dislocation arrays, and vice versa. The dislocations are of a unique type that we describe as van der Waals dislocations, for which we present a complete geometrical description, connected to both stretch and twist moiré patterns. A simple computational scheme, which reduces the complexity of the electronic interaction between layers in order to make the problem computationally tractable, is introduced to simulate these dislocation arrays, allowing us to predict and explain all of the observed moiré patterns in 2D material systems within a unique framework. We extend this analysis as well to defects in moiré patterns, which have been reported recently, and which are the result of defects of the same symmetry in the constituent 2D material layers. Finally, we show that linear defects in the moiré space can be viewed as unidimensional topological states, and can be engineered using our framework.

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“…If the graphene lattice is distorted the resulting Moiré pattern loses its hexagonal symmetry and the pattern is significantly altered 26 as is clearly seen in the topography (Figure 3d, 3e) as well as in its Fourier transform ( Figure 3f)(SI). A Moiré pattern is very useful in this case because it can serve as a highly effective magnifying glass of strain-induced lattice distortions 14 .…”

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confidence: 99%

Visualizing Strain-Induced Pseudomagnetic Fields in Graphene through an hBN Magnifying Glass

et al. 2017

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Graphene's remarkable properties are inherent to its two-dimensional honeycomb lattice structure. Its low dimensionality, which makes it possible to rearrange the atoms by applying an external force, offers the intriguing prospect of mechanically controlling the electronic properties. In the presence of strain, graphene develops a pseudomagnetic field (PMF) that reconstructs the band structure into pseudo Landau levels (PLLs). However, a feasible route to realizing, characterizing and controlling PMFs is still lacking. Here we report on a method to generate and characterize PMFs in a graphene membrane supported on nanopillars. A direct measure of the local strain is achieved by using the magnifying effect of the moiré pattern formed against a hexagonal boron nitride substrate under scanning tunneling microscopy. We quantify the strain-induced PMF through the PLLs spectra observed in scanning tunneling spectroscopy. This work provides a pathway to strain induced engineering and electro-mechanical graphene-based devices.

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Moiré pattern as a magnifying glass for strain and dislocations in van der Waals heterostructures

Abstract: Two overlaying isostructural two-dimensional crystals with slightly different lattice constants, or two equivalent crystals deposited on each other with a slight misalignment, produce a long-range quasi-periodic structure [1,2]

Cited by 43 publications

References 24 publications

Etching of graphene on Ir(111) with molecular oxygen

Etching of graphene on Ir(111) with molecular oxygen

Toward Moiré engineering in 2D materials via dislocation theory

Visualizing Strain-Induced Pseudomagnetic Fields in Graphene through an hBN Magnifying Glass

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