Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913874018566144 |
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| author | Levchenko, Alex |
| author_facet | Levchenko, Alex |
| contents | The magnetotransport properties of a two-dimensional electron liquid in graphene are analyzed in the hydrodynamic limit under isothermal conditions. It is shown that the Wiedemann-Franz law does not hold in this regime and that the Lorenz ratios constructed from the diagonal and Hall conductivities generally differ from each other. The breakdown of the Wiedemann-Franz law is most pronounced near charge neutrality, where the Lorenz ratio can exceed its nominal universal Sommerfeld value by an order of magnitude. The corresponding Lorenz ratios exhibit a nonmonotonic dependence on the magnetic field, which is caused by emergent magnetic friction arising in liquids lacking Galilean invariance and possessing finite intrinsic conductivity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_19194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid Levchenko, Alex Mesoscale and Nanoscale Physics The magnetotransport properties of a two-dimensional electron liquid in graphene are analyzed in the hydrodynamic limit under isothermal conditions. It is shown that the Wiedemann-Franz law does not hold in this regime and that the Lorenz ratios constructed from the diagonal and Hall conductivities generally differ from each other. The breakdown of the Wiedemann-Franz law is most pronounced near charge neutrality, where the Lorenz ratio can exceed its nominal universal Sommerfeld value by an order of magnitude. The corresponding Lorenz ratios exhibit a nonmonotonic dependence on the magnetic field, which is caused by emergent magnetic friction arising in liquids lacking Galilean invariance and possessing finite intrinsic conductivity. |
| title | Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.19194 |