Lindemann Parameters for solid Membranes focused on Carbon Nanotubes

Details Lindemann Parameters for solid Membranes focused on Carbon Nanotubes Lindemann Parameters for solid Membranes focused on Carbon Nanotubes

2008-06-10

arxiv.org/abs/0806.1656v2

Phys. Rev. B 79, 075412 (2009)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 1 figure, typos corrected, version published in PRB

Scientific paper

10.1103/PhysRevB.79.075412

Temperature fluctuations in the normal direction of planar crystals such as graphene are quite violent and may be expected to influence strongly their melting properties. In particular, they will modify the Lindemann melting criterium. We calculate this modification in a self-consistent Born approximation. The result is applied to graphene and its wrapped version represented by single-walled carbon nanotubes (SWNTs). It is found that the out-of-plane fluctuations dominate over the in-plane fluctuations. This makes strong restrictions to possible Lindemann parameters. Astonishing we find that these large out-of-plane fluctuations have only a small influence upon the melting temperature.

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