We study the thermal distribution of phonons in a honeycomb lattice. Due to the two electronic bands there are two out-of-plane phonon modes with respect to the two sublattices. One of these modes undergoes an Ising transition by spontaneously breaking the sublattice symmetry. We calculate the critical point, the renormalization of the phonon frequency and the average lattice distortion. This transition might be observable in doped graphene by Raman scattering and transport experiments.
Physical Review B
- Pub Date:
- August 2011
- Scattering by phonons magnons and other nonlocalized excitations;
- Condensed Matter - Materials Science
- 5 pages, 2 figures