Valence Force Model for Phonons in Graphene and Carbon Nanotubes

Abstract

Many calculations require a simple classical model for the interactions between sp^2-bonded carbon atoms, as in graphene or carbon nanotubes. Here we present a new valence force model to describe these interactions. The calculated phonon spectrum of graphene and the nanotube breathing-mode energy agree well with experimental measurements and with ab initio calculations. The model does not assume an underlying lattice, so it can also be directly applied to distorted structures. The characteristics and limitations of the model are discussed.

4 pages, 3 figures

References in corpus (3)

• Uniaxial Strain in Graphene by Raman Spectroscopy: G peak splitting, Gruneisen Parameters and Sample Orientation
• The phonon dispersion of graphite by inelastic x-ray scattering
• Raman-modes of index-identified free-standing single-walled carbon nanotubes

Cited by in corpus (23)

• Phonon Transport in Graphene
• Inelastic Scattering and Current Saturation in Graphene
• Phonons of graphene and graphitic materials derived from the empirical potential LCBOPII
• Thermomechanical properties of a single hexagonal boron nitride sheet
• Deformation and scattering in graphene over substrate steps
• Phonon mediated interlayer conductance in twisted graphene bilayers
• Strain-displacement relations and strain engineering in 2d materials
• Thermomechanical properties of graphene: valence force field model approach
• Strong magnetophonon oscillations in extra-large graphene
• Polaronic signatures and spectral properties of graphene antidot lattices
• Bandstructure and Contact Resistance of Carbon Nanotubes Deformed by the Metal Contact
• Electron-phonon coupling in graphene antidot lattices: an indication of polaronic behavior
• Spectroscopic investigations of phonons in epitaxial graphene
• Phonon-mediated electron pairing in graphene
• Strain-tuning of vacancy-induced magnetism in graphene nanoribbons
• Towards coarse-grained elasticity of single-layer Covalent Organic Frameworks
• Two-dimensional elasticity determines the low-frequency dynamics of single- and double-walled carbon nanotubes
• Valence force model and nanomechanics of single-layer phosphorene
• Evidence for Phonon-Assisted Intertube Electronic Transport in an Armchair Carbon Nanotube Film
• Thermal Transport in Graphene and Graphene Multilayers
• A model for flexural phonon dispersion in graphite and graphene
• Frequency Dependence of Phonon-Induced Current Noise in ArmchairCarbon Nanotube
• Non-local thermal transport modeling using the thermal distributor