In this work, phonon dispersion relation of trilayer graphene with ABA stacking has been calculated by using forceconstant model. In our calculation we have considered fifth nearest neighbors in plane of graphene and the interaction between the nearest layers. By using the calculated phonon dispersion relation, phonon thermal conductivity of trilayer graphene is investigated by Landaur theory at low temperatures. In force constant model, atoms are considered as a point masses that move according to the classical mechanics laws. By formation of dynamical matrix and solving the secular equation detD(k)=0 the eigen frequencies can be achieved. It can be seen that the degeneracy of the lowest acoustic branch is splited into the three branches near the Briloan zone for trilayer graphene, which is due to weak van der waals interaction between two layers. In addition, the phonon thermal conductivity increases by raising the number of layers.

Date Published: 19 September 2011
PDF: 7 pages
Proc. SPIE 8101, Carbon Nanotubes, Graphene, and Associated Devices IV, 81010S (19 September 2011); doi: 10.1117/12.893068

Published in SPIE Proceedings Vol. 8101:
Carbon Nanotubes, Graphene, and Associated Devices IV
Didier Pribat; Young-Hee Lee; Manijeh Razeghi, Editor(s)