Substrate-regulated morphology of graphene

Abstract

We delineate a general theoretical framework to determine the substrate-regulated graphene morphology through energy minimization. We then apply such a framework to study the graphene morphology on a substrate with periodic surface grooves. Depending on the substrate surface roughness and the graphene-substrate interfacial bonding energy, the equilibrium morphology of graphene ranges from 1) closely conforming to the substrate, to 2) remaining flat on the substrate. Interestingly, in certain cases, the graphene morphology snaps between the above two limiting states. Our quantitative results envision a promising strategy to precisely control the graphene morphology over large areas. The rich features of the substrate-regulated graphene morphology (e.g., the snap-through instability) can potentially lead to new design concepts of functional graphene device components.

23 pages, 5 figures

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Cited by in corpus (21)

• Ultra-strong Adhesion of Graphene Membranes
• Capillary condensation under atomic-scale confinement
• Effects of Mismatch Strain and Substrate Surface Corrugation on Morphology of Supported Monolayer Graphene
• High-fidelity conformation of graphene to SiO2 topographic features
• Adhesion mechanics of graphene membranes
• Mechanics of Adhered, Pressurized Graphene Blisters
• Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene
• Graphene adhesion on mica: Role of surface morphology
• Observation of a Snap-Through Instability in Graphene
• Determining Graphene Adhesion via Substrate-regulated Morphology of Graphene
• Mechanical Control of Graphene on Engineered Pyramidal Strain Arrays
• Altering the reactivity of pristine, N- and P-doped graphene by strain engineering: a DFT view on energy related aspects
• Mechanics of nanoscale wrinkling of graphene on a non-developable spherical surface
• Strain-induced programmable half-metal and spin-gapless semiconductor in an edge-doped boron nitride nanoribbon
• Disordered graphene and boron nitride in a microwave tight-binding analog
• Controlling adsorption of semiflexible polymers on planar and curved substrates
• Adhesion mechanics of graphene on textured substrates
• Graphene morphology regulated by nanowires patterned in parallel on a substrate surface
• Button Shear Testing for Adhesion Measurements of 2D Materials
• A Molecular Mechanics Study of Morphologic Interaction between Graphene and Si Nanowires on a SiO2 Substrate
• Effect of Interlayer Shear to Graphene Resonators