Symmetry-based approach to electron-phonon interactions in graphene

Abstract

We use the symmetries of monolayer graphene to write a set of constraints that must be satisfied by any electron-phonon interaction hamiltonian. The explicit solution as a series expansion in the momenta gives the most general, model-independent couplings between electrons and long wavelength acoustic and optical phonons. As an application, the possibility of describing elastic strains in terms of effective electromagnetic fields is considered in detail, with an emphasis on group theory conditions and the role of time reversal symmetry.

11 pages, 1 figure. Treatment of ripples in suspended graphene sheets included. Revised journal version with improved presentation and two new appendices

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• Two Dimensional Atomic Crystals
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Strong suppression of weak (anti)localization in graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Electronic properties of graphene multilayers
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Existence and topological stability of Fermi points in multilayered graphene
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Electron-Phonon Coupling and Raman Spectroscopy in Graphene
• Electron-phonon coupling and Peierls transition in metallic nanotubes

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