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

Abstract

We have measured shot noise in metallic single-walled carbon nanotubes of length L=1 $\mu$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 $P=\Sigma L(T_e^3-T_{ph}^3)$ where $\Sigma \sim 3\cdot 10^{-9}$ W/mK${}^3$ due to electron interaction with acoustic phonons, while at higher voltages optical phonon - electron interaction leads to $P={\kappa }_{op}L[N(T_e)-N(T_{ph})]$ where $N(T)=1/(\exp (\hslash \Omega /k_{B}T)-1)$ with optical phonons energy $\hslash \Omega$ and ${\kappa }_{op}=2\cdot 10^2$ W/m.

9 pages, 3 figures

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