arXiv · 0707.4350
Flexural phonons in free-standing graphene
Abstract
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 $ρ$ below a crossover temperature T_x where we obtain an anomalous temperature dependence $ρ\propto T^{5/2}_{}\ln T$. 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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Eros Mariani, Felix von Oppen. 2007-07-30. Flexural phonons in free-standing graphene. https://doi.org/10.1103/physrevlett.100.076801
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