Critical behavior in graphene: spinodal instability at room temperature

Abstract

At a critical spinodal in-plane stress ${\tau }_C$ a planar crystalline graphene layer becomes mechanically unstable. We present a model of the critical behavior of the membrane area near ${\tau }_C$ and show that it is in complete agreement with path-integral simulations and with recent experiments based on interferometric profilometry and Raman spectroscopy. Close to the critical stress, ${\tau }_C$, the in-plane strain behaves as ${\left({\tau }_C-\tau \right)}^{1/2}$ for $\tau <{\tau }_C$.

5 pages, 4 figures

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