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Dynamic scaling of out-of-plane fluctuations in freestanding graphene

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journal contribution
posted on 22.09.2022, 10:16 authored by Enzo Granato, Michelle Greb, KR Elder, SC Ying, Tapio Ala-NissilaTapio Ala-Nissila
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.

Funding

National Council for Scientific and Technological Development-CNPq

National Science Foundation (NSF) under Grant No. DMR-2006456

Academy of Finland Grant No. 312298

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review B

Volume

105

Issue

20

Publisher

American Physical Society (APS)

Version

AM (Accepted Manuscript)

Rights holder

© American Physical Society

Publisher statement

This paper was accepted for publication in the journal Physical Review B and the definitive published version is available at https://doi.org/10.1103/physrevb.105.l201409

Acceptance date

18/05/2022

Publication date

2022-05-31

Copyright date

2022

ISSN

2469-9950

eISSN

2469-9969

Language

en

Depositor

Prof Tapio Ala-Nissila. Deposit date: 21 September 2022

Article number

L201409

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