Spectral phonon conduction and dominant scattering pathways in graphene

Dhruv Singh, Purdue University
Jayathi Murthy, Purdue University
Timothy Fisher, Purdue University

Date of this Version



Journal of Applied Physics: Volume 110, Issue 9


Copyright (2011) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Applied Physics: Volume 110, Issue 9 and may be found at http://dx.doi.org/10.1063/1.3656451. The following article has been submitted to/accepted by Journal of Applied Physics. Copyright (2011) Dhruv Singh, Jayathi Y. Murthy, and Timothy S. Fisher. This article is distributed under a Creative Commons Attribution 3.0 Unported License.


In this paper, we examine the lattice thermal conductivity and dominant phonon scattering mechanisms of graphene. The interatomic interactions are modeled using the Tersoff interatomic potential and perturbation theory is applied to calculate the transition probabilities for three-phonon scattering. The matrix elements of the perturbing Hamiltonian are calculated using the anharmonic interatomic force constants obtained from the interatomic potential as well. The linearized Boltzmann transport equation is applied to compute the thermal conductivity of graphene for a wide range of parameters giving spectral and polarization-resolved information. The complete spectral detail of selection rules, important phonon scattering pathways, and phonon relaxation times in graphene are provided. We also highlight the specific scattering processes that are important in Raman spectroscopy-based measurements of graphene thermal conductivity, and provide a plausible explanation for the observed dependence on laser spot size. (C) 2011 American Institute of Physics. [doi:10.1063/1.3656451]


Nanoscience and Nanotechnology