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We have developed a new theoretical formalism for phonon transport innanostructures using the nonequilibrium phonon Green's function technique andhave applied it to thermal conduction in defective carbon nanotubes. Theuniversal quantization of low-temperature thermal conductance in carbonnanotubes can be observed even in the presence of local structural defects suchas vacancies and Stone-Wales defects, since the long wavelength acousticphonons are not scattered by local defects. At room temperature, however,thermal conductance is critically affected by defect scattering since incidentphonons are scattered by localized phonons around the defects. We find aremarkable change from quantum to classical features for the thermal transportthrough defective CNTs with increasing temperature.Comment: 5 pages, 3 figures, accepted for publication in Phys. Rev. Let

Nonequilibrium Green’s Function Approach to Phonon Transport in Defective Carbon Nanotubes