Flexural Phonons in Free-Standing Graphene
Abstract
Rotation and reflection symmetries impose that out-of-plane (flexural) phonons of freestanding 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 Tx where we obtain an anomalous temperature dependence ρ∝T5/2lnT. The logarithmic factor arises from renormalizations of the flexural-phonon dispersion due to coupling between bending and stretching degrees of freedom of the membrane.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2008
- DOI:
- 10.1103/PhysRevLett.100.076801
- arXiv:
- arXiv:0707.4350
- Bibcode:
- 2008PhRvL.100g6801M
- Keywords:
-
- 73.63.-b;
- 72.10.-d;
- 81.05.Uw;
- Electronic transport in nanoscale materials and structures;
- Theory of electronic transport;
- scattering mechanisms;
- Carbon diamond graphite;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 4 pages, 2 figures