Scaling Behavior and Strain Dependence of In-Plane Elastic Properties of Graphene

Physical Review Letters
J H LosM I Katsnelson

Abstract

We show by atomistic simulations that, in the thermodynamic limit, the in-plane elastic moduli of graphene at finite temperature vanish with system size L as a power law L(-η(u)) with η(u)≃0.325, in agreement with the membrane theory. We provide explicit expressions for the size and strain dependence of graphene's elastic moduli, allowing comparison to experimental data. Our results explain the recently experimentally observed increase of the Young modulus by more than a factor of 2 for a tensile strain of only a few per mill. The difference of a factor of 2 between the measured asymptotic value of the Young modulus for tensilely strained systems and the value from ab initio calculations remains, however, unsolved. We also discuss the asymptotic behavior of the Poisson ratio, for which our simulations disagree with the predictions of the self-consistent screening approximation.

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Citations

Jul 14, 2016·Nano Letters·Jin-Wu JiangHarold S Park
Aug 26, 2016·Nature Communications·E KhestanovaI V Grigorieva
Jul 15, 2017·Physical Review Letters·Ryan J T NichollKirill I Bolotin
Jun 4, 2019·The Journal of Chemical Physics·Carlos P Herrero, Rafael Ramírez
Apr 16, 2020·Physical Review. E·A A LyublinskayaI S Burmistrov
Nov 28, 2017·Physical Chemistry Chemical Physics : PCCP·Carlos P Herrero, Rafael Ramírez
Aug 3, 2018·The Journal of Chemical Physics·R Ramírez, C P Herrero
Jul 22, 2020·Physical Review. E·O CoquandS Teber
Dec 18, 2016·The Journal of Chemical Physics·Carlos P Herrero, Rafael Ramírez
Nov 6, 2018·Scientific Reports·Wei L Z ZhaoAlexander M Finkel'stein
May 22, 2020·Nanotechnology·Cheng WangHuaqiang Cao
Mar 17, 2018·The Journal of Chemical Physics·Carlos P Herrero, Rafael Ramírez
Jun 18, 2021·Physical Review. E·Jonathan Kernes, Alex J Levine
Jul 17, 2021·Physical Review Letters·Pierre Le Doussal, Leo Radzihovsky
Apr 14, 2018·Nano Letters·Dejan DavidovikjPeter G Steeneken

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