Response of thermalized ribbons to pulling and bending

Abstract

Motivated by recent free-standing graphene experiments, we show how thermal fluctuations affect the mechanical properties of microscopically thin solid ribbons. A renormalization group analysis of flexural phonons reveals that elongated ribbons behave like highly anisotropic polymers, where the two dimensional nature of ribbons is reflected in non-trivial power law scalings of the persistence length and effective bending and twisting rigidities with the ribbon width. With a coarse-grained transfer matrix approach, we then show how thermalized ribbons respond to pulling and bending forces over a wide spectrum of temperatures, forces and ribbon lengths.

6 pages, 4 figures + 12 pages SI

References in corpus (6)

• Two Dimensional Atomic Crystals
• Crumpling transition and flat phase of polymerized phantom membranes
• Scaling behavior and strain dependence of in-plane elastic properties of graphene
• Suppression of anharmonicities in crystalline membranes by external strain
• Theory of the spontaneous buckling of doped graphene
• Dephasing time in graphene due to interaction with flexural phonons

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