Unconventional quasiparticle lifetime in undoped graphene

Abstract

We address the question of how small can the quasiparticle decay rate be at low energies in undoped graphene, where kinematical constraints are known to prevent the decay into particle-hole excitations. For this purpose, we study the renormalization of the phonon dispersion by many-body effects, which turns out to be very strong in the case of the out-of-plane phonons at the K point of the spectrum. We show that these evolve into a branch of very soft modes that provide the relevant channel for quasiparticle decay, at energies below the scale of the optical phonon modes. In this regime, we find that the decay rate is proportional to the cube of the quasiparticle energy. This implies that a crossover should be observed in transport properties from the linear dependence characteristic of the high-energy regime to the much slower decay rate due to the soft phonon modes.

5 pages, 1 figure

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Cited by in corpus (5)

• Electron-Phonon Interactions for Optical Phonon Modes in Few-Layer Graphene
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Electron-phonon bound state in graphene
• Neutral triplet Collective Mode as a new decay channel in Graphite
• Collective modes in a Dirac insulator with short range interactions