The two-dimensional mapping of the phonon dispersions around the K point of graphite by inelastic x-ray scattering is provided. The present work resolves the longstanding issue related to the correct assignment of transverse and longitudinal phonon branches at K. We observe an almost degeneracy of the three TO, LA and LO derived phonon branches and a strong phonon trigonal warping. Correlation effects renormalize the Kohn anomaly of the TO mode, which exhibits a trigonal warping effect opposite to that of the electronic band structure. We determined the electron--phonon coupling constant to be 166(eV/A˚)2 in excellent agreement to GW calculations. These results are fundamental for understanding angle-resolved photoemission, double--resonance Raman and transport measurements of graphene based systems.
@article{arxiv.0904.3205,
title = {Phonon surface mapping of graphite: disentangling quasi--degenerate phonon dispersions},
author = {A. Grüneis and J. Serrano and A. Bosak and M. Lazzeri and S. L. Molodtsov and L. Wirtz and C. Attaccalite and M. Krisch and A. Rubio and F. Mauri and T. Pichler},
journal= {arXiv preprint arXiv:0904.3205},
year = {2015}
}