Chirality-induced Dynamic Kohn Anomalies in Graphene

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 $q=\omega /v,2k_F\pm \omega /v$ 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.

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

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• Phonon helicity induced by electronic Berry curvature in Dirac materials
• Interplay between 3d and 4f magnetism in CeCoPO
• Spectroscopic investigations of phonons in epitaxial graphene
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• Power law Kohn anomalies and the excitonic transition in graphene
• Power law Kohn anomaly in undoped graphene induced by Coulomb interactions
• Unconventional quasiparticle lifetime in undoped graphene
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• In-plane optical phonon modes of current-carrying graphene
• Interaction effects in graphene in a weak magnetic field