Directional propagation of quantum Hall viscous fluid by nano-structural engineering
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916627654639616 |
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| author | Funaki, Hiroshi Yamakage, Ai Sano, Ryotaro Matsuo, Mamoru |
| author_facet | Funaki, Hiroshi Yamakage, Ai Sano, Ryotaro Matsuo, Mamoru |
| contents | We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic equations in the strong field regime that accommodates arbitrary boundary conditions. We demonstrate nonreciprocal transport resulting from the interplay between magnetic field-induced viscosity and device geometry in a notched system. Our results will offer a powerful tool for studying the nonperturbative effects of magnetic fields on electron viscous fluids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17103 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Directional propagation of quantum Hall viscous fluid by nano-structural engineering Funaki, Hiroshi Yamakage, Ai Sano, Ryotaro Matsuo, Mamoru Mesoscale and Nanoscale Physics We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic equations in the strong field regime that accommodates arbitrary boundary conditions. We demonstrate nonreciprocal transport resulting from the interplay between magnetic field-induced viscosity and device geometry in a notched system. Our results will offer a powerful tool for studying the nonperturbative effects of magnetic fields on electron viscous fluids. |
| title | Directional propagation of quantum Hall viscous fluid by nano-structural engineering |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2502.17103 |