Electron-phonon coupling in single walled carbon nanotubes determined by shot noise

We have measured shot noise in metallic single-walled carbon nanotubes of length L=1 $μ$m and have found strong suppression of noise with increasing voltage. We conclude that the coupling of electron and phonon baths at temperatures $T_e$ and $T_{ph}$ is described at intermediate bias (20 mV $<$ \vv $\lesssim$ 200 mV) by heat flow equation $P=ΣL (T_e^3-T_{ph}^3)$ where $Σ\sim 3 \cdot 10^{-9}$ W/mK$^3$ due to electron interaction with acoustic phonons, while at higher voltages optical phonon - electron interaction leads to $P =κ_{op} L [N (T_e)-N(T_{ph})]$ where $N(T)= 1/(\exp(\hbarΩ/k_BT)-1)$ with optical phonons energy $\hbar Ω$ and $κ_{op}=2 \cdot 10^{2}$ W/m.

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