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arXiv · 2508.11201

Statistical Properties of Current Noise Induced by Electron-Phonon Scattering in Metallic Carbon Nanotubes

Aina Sumiyoshi·Keisuke Ishizeki·Takahiro Yamamoto
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Abstract

We theoretically investigate current noise in metallic carbon nanotubes induced by electron-phonon scattering, focusing on the probability density function (PDF) of the current that characterizes the nonequilibrium steady state. Quantum transport simulations combined with analyses of higher-order statistical moments reveal that the PDF evolves continuously from a Gaussian distribution in the ballistic regime to a non-Gaussian gamma distribution in the diffusive regime. In the crossover regime, the PDF exhibits pronounced asymmetry, attributed to a statistical imbalance in the number of conduction pathways contributing to high- and low-current events. Furthermore, in the diffusive regime, we identify non-Markovian features arising from high-frequency resonances in the current noise, which dominate the asymptotic scaling behavior of the current variance.

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Aina Sumiyoshi, Keisuke Ishizeki, Takahiro Yamamoto. 2025-08-15. Statistical Properties of Current Noise Induced by Electron-Phonon Scattering in Metallic Carbon Nanotubes. https://doi.org/10.7566/jpsj.94.104803

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