Princess and the Pea at the nanoscale: Wrinkling and unbinding of graphene on nanoparticles

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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45 pages, 12 figures

Scientific paper

Thin membranes exhibit complex responses to external forces or geometrical constraints. A familiar example is the wrinkling instability, exhibited by human skin, plant leaves, and fabrics, resulting from the relative ease of bending versus stretching. Here, we study the wrinkling of graphene, the thinnest and stiffest known membrane, deposited on a silica substrate decorated with silica nanoparticles. At small nanoparticle density monolayer graphene adheres to the substrate, elastically stretching to form a detachment zone around each nanoparticle. With increasing particle density, elastic stretching energy is reduced by the formation of wrinkles which connect particles. Above a critical nanoparticle density, the wrinkles form a percolating network through the sample. As the graphene membrane is made thicker, delamination from the substrate is observed. Results can be well understood within a continuum elastic model and have important implications for strain engineering the electronic properties of graphene.

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