Phonon dispersion relation and phonon thermal conductivity in trilayer graphene at low temperatures

Edris Faizabadi; Fateme Karbalaii

doi:10.1117/12.893068

19 September 2011 Phonon dispersion relation and phonon thermal conductivity in trilayer graphene at low temperatures

Edris Faizabadi, Fateme Karbalaii

Proceedings Volume 8101, Carbon Nanotubes, Graphene, and Associated Devices IV; 81010S (2011) https://doi.org/10.1117/12.893068
Event: SPIE NanoScience + Engineering, 2011, San Diego, California, United States

Abstract

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.

Citation Download Citation

Edris Faizabadi and Fateme Karbalaii "Phonon dispersion relation and phonon thermal conductivity in trilayer graphene at low temperatures", Proc. SPIE 8101, Carbon Nanotubes, Graphene, and Associated Devices IV, 81010S (19 September 2011); https://doi.org/10.1117/12.893068

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