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.
@article{arxiv.1605.08644,
title = {Stability of Suspended Graphene under Casimir Force},
author = {E. M. Chudnovsky and R. Zarzuela},
journal= {arXiv preprint arXiv:1605.08644},
year = {2016}
}