Stability of Suspended Graphene under Casimir Force

TL;DR

This paper investigates the stability of suspended graphene under Casimir forces, identifying critical conditions for attachment to a conducting surface and analyzing how temperature and size affect this stability.

Contribution

It introduces a model treating graphene as an elastic membrane under Casimir force and calculates the critical elevation for attachment based on temperature and dimensions.

Findings

Critical elevation depends on temperature and size.

Nucleation of attachment occurs below a certain height.

Stability criteria for suspended graphene are established.

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.