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 (2)

• Electric Field Effect in Atomically Thin Carbon Films
• Two Dimensional Atomic Crystals

Cited by in corpus (7)

• The electronic properties of graphene
• Midgap states and charge inhomogeneities in corrugated graphene
• Gauge field induced by ripples in graphene
• Pseudomagnetic fields and ballistic transport in a suspended graphene sheet
• Effect of Holstein phonons on the electronic properties of graphene
• Models of electron transport in single layer graphene
• Gauge fields and curvature in graphene