Published in
American Physical Society, Physical review B, 8(80), 2009
DOI: 10.1103/physrevb.80.085423
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Tools
Phonon surface mapping of graphite: disentangling quasi--degenerate phonon dispersions
,
Claudio Attaccalite,
M. Krisch,
Angel Rubio,
F. Mauri ,
T. Pichler
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Abstract
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$\rm(eV/Å)^2$ 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.