Stability of Suspended Graphene under Casimir Force

Abstract

We consider graphene sheet suspended above a conducting surface. Treating graphene as an elastic membrane subjected to Casimir force, we study its stability against attachment to the conductor. There exists a critical elevation at the edges below which the central part of suspended graphene nucleates a trunk that becomes attached to the conductor. The dependence of the critical elevation on temperature and dimensions of the graphene sheet is computed.

5 pages, 3 figures

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• Dynamics of 2D Material Membranes
• How to observe the giant thermal effect in the Casimir force for graphene systems
• Graphene Cantilever Under Casimir Force
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception