The isolation of free-standing graphene sheets seems to contradict common belief about the existence of two-dimensional crystals. Monte Carlo simulations confirm that the sheets may be stabilized by the formation of finite-sized ripples.
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Carlsson, J. Buckle or break. Nature Mater 6, 801–802 (2007). https://doi.org/10.1038/nmat2051
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DOI: https://doi.org/10.1038/nmat2051