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note
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Here we neglect acoustic phonon effects in a first approximation, and as a result, nonequilibrium phenomena between optical and acoustic phonon populations. By identifying the temperature profile obtained from Eq. (3) with the optical phonon temperature in the transport equation [Eq. (2)], our model overestimates the nanotube temperature. However, this approximation has minor effects (at most a slight renormalization of the scattering rate values) on the onset of the nonlinear transport (saturation and NDR) as seen in Figs. 1 and 3 while it sets an upper limit on the maximum temperature reached in the nanotubes. Inclusion of nonequilibrium phonon population in our self-consistent scheme will be the subject of a forthcoming analysis.
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