Survival of the Dirac points in rippled graphene

Abstract

We study the effects of the rippling of the graphene sheet on the quasiparticle dispersion. This is achieved using a generalization to the honeycomb lattice of the Momentum Average approximation, which is accurate for all coupling strengths and at all energies. We show that even though the position of the Dirac points may move and the Fermi speed can be renormalized significantly, quasiparticles with very long lifetimes survive near the Dirac points even for very strong couplings.

4 pages, 3 figures

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• Tunable graphene bandgaps from superstrate mediated interactions
• Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: $s$-wave bipolarons
• Polarons in highly doped atomically thin graphitic materials
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