Stability of suspended graphene under Casimir force

2016/05/27 by Eugene M. Chudnovsky, E. M. Chudnovsky, Ricardo Zarzuela +1 · 7 citations
Chemistry · Physics and Astronomy · #Casimir effect #Chemistry #Classical mechanics #Composite material #Condensed matter physics #Conductor #Graphene #Materials science #Membrane #Nanotechnology #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.94.085424

published in Physical review. B./Physical review. B 94(8) (American Physical Society) · 5 pages, 3 figures

arxiv created 2016/05/27 · openalex publication_date 2016/08/24 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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

Citations

• The Influence of Retardation on the London-van der Waals Forces
• Pseudomagnetic Fields and Ballistic Transport in a Suspended Graphene Sheet
• Nonuniversality of the dispersion interaction: analytic benchmarks for van der Waals energy functionals
• Nonlinear Elasticity of Monolayer Graphene
• Electric Field Effect in Atomically Thin Carbon Films
• Influence of electric current on the Casimir forces between graphene sheets
• Measuring the Casimir force gradient from graphene on a SiO<mml:mrow/>2substrate
• The electronic properties of graphene

Cited by

• Graphene cantilever under Casimir force