Graphene Cantilever Under Casimir Force

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.

References in corpus (22)

• The electronic properties of graphene
• Intrinsic ripples in graphene
• The Casimir force between real materials: experiment and theory
• The `Friction' of Vacuum, and other Fluctuation-Induced Forces
• A Materials Perspective on Casimir and van der Waals Interactions
• Finite temperature Casimir effect for graphene
• Determination of the Bending Rigidity of Graphene via Electrostatic Actuation of Buckled Membranes
• Casimir interaction between a perfect conductor and graphene described by the Dirac model
• Mechanics of freely-suspended ultrathin layered materials
• Scaling behavior and strain dependence of in-plane elastic properties of graphene
• The proximity force approximation for the Casimir energy as a derivative expansion
• Measurement of non-monotonic Casimir forces between silicon nanostructures
• Bending modes, anharmonic effects and thermal expansion coefficient in single layer and multilayer graphene
• Suppression of anharmonicities in crystalline membranes by external strain
• Measuring the Casimir force gradient from graphene on a SiO_2 substrate
• Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene
• Thermal Casimir effect in the interaction of graphene with dielectrics and metals
• Enhanced Casimir effect for doped graphene
• Experiment, theory and the Casimir effect
• Shape tailoring to enhance and tune the properties of graphene nanomechanical resonators
• Casimir Effect : Theory and Experiments
• Stability of Suspended Graphene under Casimir Force

Cited by in corpus (6)

• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
• Casimir effect for fermion condensate in conical rings
• Adiabatic pumping driven by moving kink and quantum standard ampere in buckled graphene nanoribbon