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Temperature and Size Dependent Thermal Conductivity of Graphene Nanoribbons Description for Phonon Dispersion and Polarization

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The comparative contribution to heat transfer by different phonon branches is one of the most a fascinating and open question in phonon transport of graphene nanoribbons. Present reports based on the investigation of temperature thermal conductivity along a long free-standing graphene nanoribbon (GNR). We have used the direction dependent phonon-boundary scattering into the linearized phonon Boltzmann transport equation. We have also studied the size and edge roughness along with temperature influences on the thermal conductivity of different polarization branch due to the important difference in the phonon dispersion between the in-plane (LA and TA Branch) and out-of-plane (ZA branch) branches. The comparative contribution of flexural phonons to the heat conduction increases with decreasing the size or increasing the edge roughness of graphene nanoribbons (GNR). The achieved results are in good agreement with the recent measurements of the thermal conductivity.
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Keywords: Graphene Nanoribbons; Phonon Dispersion; Thermal Conductivity

Document Type: Research Article

Affiliations: 1: Advanced Material Lab, Department of Applied Physics, S. V. National Institute of Technology, Surat 395007, India 2: Department of Physics, St. Xavier’s College, Ahmedabad 380009, India

Publication date: November 1, 2016

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