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Phonon thermal-conductance of a one-dimensional semiconductor nanostructure has been calculated by self-consistently solving coupled nonequilibrium Green function equations for electrons and phonons. The channel length, N , dependence of the phonon thermal-conductance change, Δ K p , due to the electron–phonon interaction is found to obey a simple relation of Δ K p = β NG e with a constant proportionality factor β for the calculated N range up to N = 100 ( G e is the electrical conductance). The phonon thermal-conductance change in the isotopically disordered system is found to be hardly affected by the presence of the isotope impurities.
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Kajiwara et al. (2019) studied this question.
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