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| Format: | Preprint |
| Publié: |
2023
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| Accès en ligne: | https://arxiv.org/abs/2310.09312 |
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| _version_ | 1866909556434534400 |
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| author | Hui, Aaron |
| author_facet | Hui, Aaron |
| contents | Johnson noise thermometry enables direct measurement of the electron temperature, a valuable probe of many-body systems. Practical use of this technique calls for non-equilibrium generalizations of the Johnson-Nyquist theorem. For a hydrodynamic Corbino device, however, a naïve use of the Shockley-Ramo theorem alongside the "Corbino paradox" leads to yet another paradox: bulk velocity fluctuations cannot be measured by the contacts. In this work, we resolve the unphysical "Corbino Shockley-Ramo paradox" by correctly formulating the hydrodynamic Shockley-Ramo problem. This allows us to properly formulate the problem of current noise in an hydrodynamic multi-terminal device of arbitrary geometry, as well as validate a previously unjustified assumption for rectangular geometry results. As an example, we compute the Johnson noise in a hydrodynamic Corbino device, where we find a suppression of Johnson noise with magnetic field. This unusual characteristic serves as a strong signature of viscous hydrodynamic behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09312 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise Hui, Aaron Mesoscale and Nanoscale Physics Strongly Correlated Electrons Johnson noise thermometry enables direct measurement of the electron temperature, a valuable probe of many-body systems. Practical use of this technique calls for non-equilibrium generalizations of the Johnson-Nyquist theorem. For a hydrodynamic Corbino device, however, a naïve use of the Shockley-Ramo theorem alongside the "Corbino paradox" leads to yet another paradox: bulk velocity fluctuations cannot be measured by the contacts. In this work, we resolve the unphysical "Corbino Shockley-Ramo paradox" by correctly formulating the hydrodynamic Shockley-Ramo problem. This allows us to properly formulate the problem of current noise in an hydrodynamic multi-terminal device of arbitrary geometry, as well as validate a previously unjustified assumption for rectangular geometry results. As an example, we compute the Johnson noise in a hydrodynamic Corbino device, where we find a suppression of Johnson noise with magnetic field. This unusual characteristic serves as a strong signature of viscous hydrodynamic behavior. |
| title | Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2310.09312 |