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In a recent preprint Kong et al, arXiv:0902.0642v1 (2009) claimed tocalculate the lattice thermal conductivity of single and bi-layer graphene'from first principles'. The main findings were that the Umklapp-limitedthermal conductivity is only slightly higher than that of high-quality bulkgraphite along the basal plane, and that it does not strongly depend on thenumber of atomic layers. Here we explain that the calculation of Kong et alused a truncation procedure with a 'hidden' parameter, a cut-off frequency forthe long-wavelength acoustic phonons, which essentially determined the finalresult. Unlike in bulk graphite, there is no physical justification forintroducing the cut-off frequency for the long wavelength phonons in graphene.It leads to substantial underestimation of graphene's lattice thermalconductivity and a wrong conclusion about the dependence on the number ofatomic layers. We outline the proper way for calculating the lattice thermalconductivity of graphene, which requires an introduction of other scatteringmechanisms to avoid a logarithmic divergence of the thermal conductivityintegral.

Comment on 'First principles calculation of lattice thermal conductivity in mono- and bi-layer graphene' (arXiv:0902.0642)