Peeling of multilayer graphene creates complex interlayer sliding patterns

Korhonen, Tapani; Koskinen, Pekka

doi:10.1103/physrevb.92.115427

Cited by 25 publications

(16 citation statements)

References 26 publications

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“…Fitting the force parameter f with a chosen tolerance a = 0.7Å to simulation data yields f = 0.7 meV/Å 3 . The maximal force per unit area for sliding in an armchair direction is f max = 2.3 meV/Å 3 , which confirms the physical interpretation of the fit (f ≈ 0.3f max ) [35].…”

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confidence: 79%

Limits of stability in supported graphene nanoribbons subject to bending

Korhonen

Koskinen

2016

Phys. Rev. B

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Graphene nanoribbons are prone to in-plane bending even when supported on flat substrates. However, the amount of bending that ribbons can stably withstand remains poorly known. Here, by using molecular dynamics simulations, we study the stability limits of 0.5 − 1.9 nm wide armchair and zigzag graphene nanoribbons subject to bending. We observe that the limits for maximum stable curvatures are below ∼ 10 deg/nm, in case the bending is externally forced and the limit is caused by buckling instability. Furthermore, it turns out that the limits for maximum stable curvatures are also below ∼ 10 deg/nm, in case the bending is not forced and the limit arises only from the corrugated potential energy landscape due to the substrate. Both of the stability limits lower rapidly when ribbons widen. These results agree with recent experiments and can be understood by means of transparent elasticity models.

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confidence: 79%

Limits of stability in supported graphene nanoribbons subject to bending

Korhonen

Koskinen

2016

Phys. Rev. B

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“…2), similar phenomena can be observed upon shear or bending deformations. 24 The paper is organized in the following way. In section 2 we discuss basic characteristics of interlayer interaction and elastic properties of graphene and boron nitride layers.…”

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confidence: 99%

Dislocations in stacking and commensurate-incommensurate phase transition in bilayer graphene and hexagonal boron nitride

et al. 2016

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Dislocations corresponding to a change of stacking in two-dimensional hexagonal bilayers, graphene and boron nitride, and associated with boundaries between commensurate domains are investigated using the two-chain Frenkel-Kontorova model on top of ab initio calculations. Structural transformations of bilayers in which the bottom layer is stretched and the upper one is left to relax freely are considered for gradually increased elongation of the bottom layer. Formation energies of dislocations, dislocation width and orientation of the boundary between commensurate domains are analyzed depending on the magnitude and direction of elongation. The second-order phase transition from the commensurate phase to the incommensurate one with multiple dislocations is predicted to take place at some critical elongation. The order parameter for this transition corresponds to the density of dislocations, which grows continuously upon increasing the elongation of the bottom layer above the critical value. In graphene and metastable boron nitride with the layers aligned in the same direction, where elementary dislocations are partial, this transition, however, is preceded by formation of the first dislocation at the elongation smaller than the critical one. The phase diagrams including this intermediate state are plotted in coordinates of the magnitude and direction of elongation of the bottom layer.

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“…Because of the smallness of the graphene bending modulus, on micrometer-length scales the mechanical behavior is dominated by in-plane strain energy. 39 The strain energy is minimized when e αβ ≈ 0 or e αβ 0 ≈ δ αβ ε( r ). To a first approximation, eq 1 then implies an area increase of Δ A = [π/(2 log 2)] × fwhm 2 ε 0 .…”

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Optically Forged Diffraction-Unlimited Ripples in Graphene

Koskinen

Karppinen

Myllyperkiö

et al. 2018

J. Phys. Chem. Lett.

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In nanofabrication, just as in any other craft, the scale of spatial details is limited by the dimensions of the tool at hand. For example, the smallest details of direct laser writing with far-field light are set by the diffraction limit, which is approximately half of the used wavelength. In this work, we overcome this universal assertion by optically forging graphene ripples that show features with dimensions unlimited by diffraction. Thin sheet elasticity simulations suggest that the scaled-down ripples originate from the interplay between substrate adhesion, in-plane strain, and circular symmetry. The optical forging technique thus offers an accurate way to modify and shape 2D materials and facilitates the creation of controllable nanostructures for plasmonics, resonators, and nano-optics.

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Peeling of multilayer graphene creates complex interlayer sliding patterns

Cited by 25 publications

References 26 publications

Limits of stability in supported graphene nanoribbons subject to bending

Limits of stability in supported graphene nanoribbons subject to bending

Dislocations in stacking and commensurate-incommensurate phase transition in bilayer graphene and hexagonal boron nitride

Optically Forged Diffraction-Unlimited Ripples in Graphene

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