DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Graphene cantilever under Casimir force

Journal Article · · Journal of Physics. D, Applied Physics
ORCiD logo [1];  [1];  [1];  [2]
  1. City Univ. of New York (CUNY), NY (United States). Lehman College and Graduate School
  2. City Univ. of New York (CUNY), NY (United States). LaGuardia Community College

In this work, the 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.

Research Organization:
City Univ. of New York (CUNY), NY (United States). Lehman College
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-93ER45487
OSTI ID:
1593714
Journal Information:
Journal of Physics. D, Applied Physics, Vol. 51, Issue 19; ISSN 0022-3727
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

References (36)

Determination of the Bending Rigidity of Graphene via Electrostatic Actuation of Buckled Membranes journal June 2012
Bending modes, anharmonic effects, and thermal expansion coefficient in single-layer and multilayer graphene journal October 2012
Enhanced Casimir effect for doped graphene journal February 2016
Molecular attraction of condensed bodies [Молекулярное притяжение конденсированных тел] journal January 2015
Carbon nanotube stabilized single layer graphene cantilevers journal April 2017
A review on mechanical exfoliation for the scalable production of graphene journal January 2015
Graphene Nanoelectromechanical Systems as Stochastic-Frequency Oscillators journal May 2014
Shape tailoring to enhance and tune the properties of graphene nanomechanical resonators journal May 2017
Zur Theorie und Systematik der Molekularkr�fte journal March 1930
Молекулярное притяжение конденсированных тел journal January 1958
Intrinsic ripples in graphene journal September 2007
Bending Rigidity and Gaussian Bending Stiffness of Single-Layered Graphene journal December 2012
Measuring the Casimir force gradient from graphene on a SiO 2 substrate journal May 2013
Casimir interaction between a perfect conductor and graphene described by the Dirac model journal December 2009
Molecular attraction of condensed bodies journal September 2015
Mechanics of freely-suspended ultrathin layered materials: Mechanics of 2D materials journal October 2014
Scaling Behavior and Strain Dependence of In-Plane Elastic Properties of Graphene journal January 2016
Casimir Effect: Theory and Experiments journal June 2012
Experiment, theory and the Casimir effect journal April 2009
Fluctuations in membranes with crystalline and hexatic order journal January 1987
A roadmap for graphene journal October 2012
Measurement of non-monotonic Casimir forces between silicon nanostructures journal January 2017
Self-consistent screening approximation for flexible membranes: Application to graphene journal September 2010
Proximity force approximation for the Casimir energy as a derivative expansion journal November 2011
The Casimir force between real materials: Experiment and theory journal December 2009
The electronic properties of graphene journal January 2009
Thermal Casimir effect in the interaction of graphene with dielectrics and metals journal October 2012
Materials perspective on Casimir and van der Waals interactions journal November 2016
The Casimir force: background, experiments, and applications journal December 2004
Finite-temperature Casimir effect for graphene journal July 2011
Quantum field theoretical description for the reflectivity of graphene journal February 2015
The “friction” of vacuum, and other fluctuation-induced forces journal July 1999
Graphene cantilever beams for nano switches journal August 2012
Stability of suspended graphene under Casimir force journal August 2016
Casimir interaction between a perfect conductor and graphene described by the Dirac model text January 2009
The proximity force approximation for the Casimir energy as a derivative expansion text January 2011

Figures / Tables (4)


Similar Records

Casimir forces and graphene sheets
Journal Article · 2010 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:21421462

Carbon nanotube stabilized single layer graphene cantilevers
Journal Article · 2017 · Applied Physics Letters · OSTI ID:1466204

Casimir forces in the flatland: Interplay between photoinduced phase transitions and quantum Hall physics
Journal Article · 2021 · Physical Review Research · OSTI ID:1778620