Phonon dispersion in graphene

Abstract

Taking into account the constraints imposed by the lattice symmetry, the phonon dispersion is calculated for graphene with interactions between the first and second nearest neighbors in the framework of the Born-von Karman model. Analytical expressions are obtained for the out-of-plane (bending) modes determined only by two force constants as well as for the in-plane modes with four force constants. Values of the force constants are found in fitting to elastic constants and Raman frequencies observed in graphite.

6 pages, 4 figures

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• The Raman Fingerprint of Graphene
• High-accuracy first-principles determination of the structural, vibrational and thermodynamical properties of diamond, graphite, and derivatives
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Electron-Phonon Coupling and Raman Spectroscopy in Graphene

Cited by in corpus (15)

• Symmetry constraints on phonon dispersion in graphene
• The influence of size effect on the electronic and elastic properties of diamond films with nanometer thickness
• Effective time-reversal symmetry breaking in the spin relaxation in a graphene quantum dot
• Topological continuum charges of acoustic phonons in 2D
• Phonon-mediated superconductivity in doped monolayer materials
• Tunable topological magnon-polaron states and anomalous Hall phenomena in two-dimensional ferromagnetic insulators
• Non-monotonic spin relaxation and decoherence in graphene quantum dots with spin-orbit interactions
• Symmetry of the carbon nanotube modes and their origin from the phonon branches of graphene
• Impact of nuclear vibrations on van der Waals and Casimir interactions at zero and finite temperature
• Ising instability of a Holstein phonon mode in graphene
• Topological magnon-polarons in honeycomb antiferromagnets with spin-flop transition
• In-plane optical phonon modes of current-carrying graphene
• Phonon spectra, quantum geometry, and the Goldstone theorem
• Visualizing intercalation effects in 2D materials using AFM based techniques
• Raman spectroscopy and imaging of graphene