Graphene Cantilever Under Casimir Force

TL;DR

This paper investigates the stability of a graphene cantilever under Casimir attraction, analyzing how temperature and rigidity influence instability, and proposes its use for precise Casimir force measurements.

Contribution

It provides analytical and numerical analysis of the instability threshold of graphene cantilevers influenced by Casimir forces, including critical temperature and attachment geometry.

Findings

Critical temperature for irreversible bending identified

Analytical and numerical methods used for stability analysis

Graphene cantilever proposed as a precision Casimir force sensor

Abstract

Stability of graphene cantilever under Casimir attraction to an underlying conductor is investigated. The dependence of the instability threshold on temperature and flexural rigidity is obtained. Analytical work is supplemented by numerical computation of the critical temperature above which the graphene cantilever irreversibly bends down and attaches to the conductor. The geometry of the attachment and exfoliation of the graphene sheet is discussed. It is argued that graphene cantilever can be an excellent tool for precision measurements of the Casimir force.