paper

Chirality-induced Dynamic Kohn Anomalies in Graphene

arXiv:0801.1291 · doi:10.1103/PhysRevLett.101.066401

Abstract

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 for LO phonons and one at for TO phonons. The presence of these new KAs in graphene, in contrast to the usual KA 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.

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

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