Symmetry constraints on phonon dispersion in graphene

Details Symmetry constraints on phonon dispersion in graphene Symmetry constraints on phonon dispersion in graphene

2008-02-07

arxiv.org/abs/0802.0912v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1016/j.physleta.2008.05.085

Taking into account the constraints imposed by the lattice symmetry, we calculate the phonon dispersion for graphene with interactions between the first, second, and third nearest neighbors in the framework of the Born--von Karman model. Analytical expressions obtained for the dispersion of the out-of-plane (bending) modes give the nonzero sound velocity. The dispersion of four in-plane modes is determined by coupled equations. Values of the force constants are found in fitting with frequencies at critical points and with elastic constants measured on graphite.

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