• 文献标题:   Dynamic scaling of out-of-plane fluctuations in freestanding graphene
  • 文献类型:   Article
  • 作  者:   GRANATO E, GREB M, ELDER KR, YING SC, ALANISSILA T
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:  
  • 被引频次:   2
  • DOI:   10.1103/PhysRevB.105.L201409
  • 出版年:   2022

▎ 摘  要

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 xi as alpha = xi/(1 + xi). For sufficiently long times it crosses over to linear behavior for finite-size systems. The critical exponent a 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.