Zone-Boundary Phonon in Graphene and Nanotube
Author(s) -
Hidekatsu Suzuura,
Tsuneya Ando
Publication year - 2008
Publication title -
journal of the physical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.76
H-Index - 139
eISSN - 1347-4073
pISSN - 0031-9015
DOI - 10.1143/jpsj.77.044703
Subject(s) - graphene , phonon , hamiltonian (control theory) , condensed matter physics , scattering , boundary value problem , nanotube , valence (chemistry) , physics , materials science , carbon nanotube , quantum mechanics , nanotechnology , mathematical optimization , mathematics
Zone-boundary phonons are described in a valence-force-field model and then converted into a continuum model. Only a mode with the highest frequency corresponding to a Kekule-type distortion gives rise to inter-valley electron scattering between K and K' points. An effective Hamiltonian for this interaction is obtained and used for the estimation of inter-valley scattering in graphene and nanotubes.
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