Flexural phonons in free-standing graphene

Details Flexural phonons in free-standing graphene Flexural phonons in free-standing graphene

2007-07-30

arxiv.org/abs/0707.4350v1

Phys. Rev. Lett. 100, 076801 (2008); Phys. Rev. Lett. 100, 249901(E) (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.100.076801

Rotation and reflection symmetries impose that out-of-plane (flexural) phonons of free-standing graphene membranes have a quadratic dispersion at long wavelength and can be excited by charge carriers in pairs only. As a result, we find that flexural phonons dominate the phonon contribution to the resistivity $\rho$ below a crossover temperature T_x where we obtain an anomalous temperature dependence $\rho\propto T^{5/2}_{}\ln T$. The logarithmic factor arises from renormalizations of the flexural phonon dispersion due to coupling between bending and stretching degrees of freedom of the membrane.

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