Charge and Valley Hydrodynamics in the Quantum Hall Regime of Gapped Graphene
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909818586923008 |
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| author | Shu, Danyu Funaki, Hiroshi Yamakage, Ai Sano, Ryotaro Matsuo, Mamoru |
| author_facet | Shu, Danyu Funaki, Hiroshi Yamakage, Ai Sano, Ryotaro Matsuo, Mamoru |
| contents | We develop a unified viscous hydrodynamics for charge and valley transport in gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a response to static electric-field gradients instead of strain, establishing a derivative hierarchy that fundamentally links it to nonlocal Hall conductivity. The theory predicts quantized Hall viscosity for charge and valley, including a ground-state contribution. Crucially, the valley current is unaffected by the Lorentz force and is directly accessible via the local pressure, namely the electrostatic potential that tracks fluid vorticity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Charge and Valley Hydrodynamics in the Quantum Hall Regime of Gapped Graphene Shu, Danyu Funaki, Hiroshi Yamakage, Ai Sano, Ryotaro Matsuo, Mamoru Mesoscale and Nanoscale Physics We develop a unified viscous hydrodynamics for charge and valley transport in gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a response to static electric-field gradients instead of strain, establishing a derivative hierarchy that fundamentally links it to nonlocal Hall conductivity. The theory predicts quantized Hall viscosity for charge and valley, including a ground-state contribution. Crucially, the valley current is unaffected by the Lorentz force and is directly accessible via the local pressure, namely the electrostatic potential that tracks fluid vorticity. |
| title | Charge and Valley Hydrodynamics in the Quantum Hall Regime of Gapped Graphene |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2510.00760 |