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Using computational and theoretical approaches, we investigate thesnap-through transition of buckled graphene membranes. Our main interest isrelated to the possibility of using the buckled membrane as a plate ofcapacitor with memory (memcapacitor). For this purpose, we performedmolecular-dynamics (MD) simulations and elasticity theory calculations of theup-to-down and down-to-up snap-through transitions for membranes of severalsizes. We have obtained expressions for the threshold switching forces for bothup-to-down and down-to-up transitions. Moreover, the up-to-down thresholdswitching force was calculated using the density functional theory (DFT). OurDFT results are in general agreement with MD and analytical theory findings.Our systematic approach can be used for the description of other structures,including nanomechanical and biological ones, experiencing the snap-throughtransition.

Snap-through transition of graphene membranes for memcapacitor applications: A combined study using MD, DFT and elasticity theory