Dynamic scaling of out-of-plane fluctuations in freestanding graphene
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2022-05-15
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en
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7
1-7
1-7
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Physical Review B, Volume 105, issue 20
Abstract
We study the dynamical behavior of the mean-square displacement of height fluctuations of freestanding graphene using a phase-field-crystal model introduced recently. We find that the dynamic scaling behavior obtained numerically at long times is well described by the scaling theory of polymerized membranes. The critical exponent characterizing the power-law increase with time depends only on the equilibrium roughening exponent ζ as α=ζ/(1+ζ). For sufficiently long times it crosses over to linear behavior for finite-size systems. The critical exponent α is in good agreement with the anomalous diffusion exponent observed experimentally in graphene, suggesting this is a property that could also be observable in other two-dimensional crystalline materials.Description
Funding Information: E.G. was supported by the National Council for Scientific and Technological Development-CNPq and computer facilities from CENAPAD-SP. K.R.E. would like to acknowledge support of the National Science Foundation (NSF) under Grant No. DMR-2006456 and Oakland University Technology Services high performance computing facility (Matilda). T.A.-N. has been supported in part by the Academy of Finland through its QTF Center of Excellence program Grant No. 312298. Publisher Copyright: © 2022 American Physical Society.
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Granato, E, Greb, M, Elder, K R, Ying, S C & Ala-Nissila, T 2022, ' Dynamic scaling of out-of-plane fluctuations in freestanding graphene ', Physical Review B, vol. 105, no. 20, L201409, pp. 1-7 . https://doi.org/10.1103/PhysRevB.105.L201409