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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.11201 |
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| _version_ | 1866914257920065536 |
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| author | Sumiyoshi, Aina Ishizeki, Keisuke Yamamoto, Takahiro |
| author_facet | Sumiyoshi, Aina Ishizeki, Keisuke Yamamoto, Takahiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Statistical Properties of Current Noise Induced by Electron-Phonon Scattering in Metallic Carbon Nanotubes Sumiyoshi, Aina Ishizeki, Keisuke Yamamoto, Takahiro Mesoscale and Nanoscale Physics 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. |
| title | Statistical Properties of Current Noise Induced by Electron-Phonon Scattering in Metallic Carbon Nanotubes |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2508.11201 |