Irreversibility in response to forces acting on graphene sheets

Abstract

The amount of rippling in graphene sheets is related to the interactions with the substrate or with the suspending structure. Here, we report on an irreversibility in the response to forces that act on suspended graphene sheets. This may explain why one always observes a ripple structure on suspended graphene. We show that a compression-relaxation mechanism produces static ripples on graphene sheets and determine a peculiar temperature $T_c$, such that for $T<T_c$ the free-energy of the rippled graphene is smaller than that of roughened graphene. We also show that $T_c$ depends on the structural parameters and increases with increasing sample size.

4 pages, 4 Figures

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Cited by in corpus (5)

• High-fidelity conformation of graphene to SiO2 topographic features
• Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene
• Periodic ripples in suspended graphene
• Strains and pseudo-magnetic fields in circular graphene rings
• Comments on `Irreversibility in Response to Forces Acting on Graphene Sheets'