Young's modulus and thermal expansion of tensioned graphene membranes

Isaac R. Storch, Roberto De Alba, Vivekananda P. Adiga, T. S. Abhilash, Robert A. Barton, Harold G. Craighead, Jeevak M. Parpia, Paul L. McEuen

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

Tensioned graphene membranes are of interest both for fundamental physics and for applications ranging from water filtration to nanomechanical resonators. It is generally assumed that these membranes have a stretching modulus of about 340 N/m and a negative, temperature-independent thermal expansion coefficient due to transverse phonon modes. In this paper, we study the two-dimensional Young's modulus and thermal expansion of graphene as functions of temperature by using laser interferometry to detect the static displacement of the membrane in a cryostat. Surprisingly, we find that the modulus decreases strongly with increasing temperature, which leads to a positive temperature-dependent thermal expansion coefficient. We show that the thermally rippled membrane theory is not consistent with our data, while the effects of surface contaminants typically present on these membranes may explain the observed behavior. Our experiments undermine long-standing assumptions about tensioned two-dimensional membranes, but are consistent with puzzling behavior observed in previous experiments on graphene resonators.

Original languageEnglish
Article number085408
JournalPhysical Review B
Volume98
Issue number8
DOIs
Publication statusPublished - 6 Aug 2018
MoE publication typeA1 Journal article-refereed

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Graphene
Thermal expansion
thermal expansion
modulus of elasticity
graphene
Elastic moduli
membranes
Membranes
expansion
resonators
Resonators
laser interferometry
Water filtration
temperature
Laser interferometry
cryostats
coefficients
Temperature
Cryostats

Cite this

Storch, I. R., De Alba, R., Adiga, V. P., Abhilash, T. S., Barton, R. A., Craighead, H. G., ... McEuen, P. L. (2018). Young's modulus and thermal expansion of tensioned graphene membranes. Physical Review B, 98(8), [085408]. https://doi.org/10.1103/PhysRevB.98.085408
Storch, Isaac R. ; De Alba, Roberto ; Adiga, Vivekananda P. ; Abhilash, T. S. ; Barton, Robert A. ; Craighead, Harold G. ; Parpia, Jeevak M. ; McEuen, Paul L. / Young's modulus and thermal expansion of tensioned graphene membranes. In: Physical Review B. 2018 ; Vol. 98, No. 8.
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Storch, IR, De Alba, R, Adiga, VP, Abhilash, TS, Barton, RA, Craighead, HG, Parpia, JM & McEuen, PL 2018, 'Young's modulus and thermal expansion of tensioned graphene membranes', Physical Review B, vol. 98, no. 8, 085408. https://doi.org/10.1103/PhysRevB.98.085408

Young's modulus and thermal expansion of tensioned graphene membranes. / Storch, Isaac R.; De Alba, Roberto; Adiga, Vivekananda P.; Abhilash, T. S.; Barton, Robert A.; Craighead, Harold G.; Parpia, Jeevak M.; McEuen, Paul L.

In: Physical Review B, Vol. 98, No. 8, 085408, 06.08.2018.

Research output: Contribution to journalArticleScientificpeer-review

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