Chirality-induced Dynamic Kohn Anomalies in Graphene

Details Chirality-induced Dynamic Kohn Anomalies in Graphene Chirality-induced Dynamic Kohn Anomalies in Graphene

2008-01-08

arxiv.org/abs/0801.1291v2

Phys. Rev. Lett. 101, 066401 (2008)

Physics

Condensed Matter

Materials Science

Accepted by PRL; updated version to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.101.066401

We develop a theory for the renormalization of the phonon energy dispersion in graphene due to the combined effects of both Coulomb and electron-phonon (e-ph) interactions. We obtain the renormalized phonon energy spectrum by an exact analytic derivation of the phonon self-energy, finding three distinct Kohn anomalies (KAs) at the phonon wavevector $q = \omega/v, 2k_F\pm\omega/v$ for LO phonons and one at $q = \omega/v$ for TO phonons. The presence of these new KAs in graphene, in contrast to the usual KA $q = 2k_F$ in ordinary metals, originates from the dynamical screening of e-ph interaction (with a concomitant breakdown of the Born-Oppenheimer approximation) and the peculiar chirality of the graphene e-ph coupling.

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