Dynamics of fluctuations and thermal buckling in graphene from a phase-field crystal model

Enzo Granato, K. R. Elder, S. C. Ying, and T. Ala-Nissila
Phys. Rev. B 107, 035428 – Published 24 January 2023

Abstract

We study the effects of thermal fluctuations and pinned boundaries in graphene membranes by using a phase-field crystal model with out-of-plane deformations. For sufficiently long times, the linear diffusive behavior of height fluctuations in systems with free boundaries becomes a saturation regime, while at intermediate times the behavior is still subdiffusive as observed experimentally. Under compression, we find mirror buckling fluctuations where the average height changes from above to below the pinned boundaries, with the average time between fluctuations diverging below a critical temperature corresponding to a thermally induced buckling transition. Near the transition, we find a nonlinear height response in agreement with recent renormalization-group calculations and observed in experiments on graphene membranes under an external transverse force with clamped boundaries.

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  • Received 24 October 2022
  • Revised 10 January 2023
  • Accepted 17 January 2023

DOI:https://doi.org/10.1103/PhysRevB.107.035428

©2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Enzo Granato1,2, K. R. Elder3, S. C. Ying2, and T. Ala-Nissila4,2,5

  • 1Instituto Nacional de Pesquisas Espaciais, 12227-010 São José dos Campos, SP, Brazil
  • 2Department of Physics, P.O. Box 1843, Brown University, Providence, Rhode Island 02912-1843, USA
  • 3Department of Physics, Oakland University, Rochester, Michigan 48309, USA
  • 4QTF Centre of Excellence, Department of Applied Physics, Aalto University School of Science, P.O. Box 11000, FI-00076 Aalto, Espoo, Finland
  • 5Interdisciplinary Centre for Mathematical Modelling, Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom

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Issue

Vol. 107, Iss. 3 — 15 January 2023

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