AC Fingerprints of 2D Electron Hydrodynamics: Superdiffusion and Drude Weight Suppression
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866918411393564672 |
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| author | Thuillier, Davis Scaffidi, Thomas |
| author_facet | Thuillier, Davis Scaffidi, Thomas |
| contents | Clean two-dimensional Fermi liquids are now known to exhibit an intermediate \emph{tomographic} regime, between ballistic and Navier--Stokes transport, caused by the anomalously slow relaxation of parity-odd multipolar deformations of the Fermi surface. Here we show that this anomaly extends to the dynamical realm. Starting from a microscopic numerical evaluation of the linearized electron--electron collision operator, we find that the finite-frequency nonlocal conductivity is controlled at low frequency by a single hydrodynamic pole, $σ(q,ω)=\mathcal{D}(q)/(iω+η_\star q^z)$, with dynamical exponent $z=4/3$ and superdiffusive viscosity $η_\star$. Remarkably, the pole residue itself is scale dependent and obeys $\mathcal{D}(q)\sim q^{-α}$ with $α=1/3$, so the dynamical properties are described by two separate exponents rather than one. We interpret the residue suppression using a Krylov-chain description of current relaxation: as $q$ increases, the longest-lived quasinormal mode ceases to be a nearly pure current excitation and spreads over higher odd angular harmonics. Finally, we show that AC transport in narrow channels provides a direct experimental probe of these phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15737 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | AC Fingerprints of 2D Electron Hydrodynamics: Superdiffusion and Drude Weight Suppression Thuillier, Davis Scaffidi, Thomas Strongly Correlated Electrons Mesoscale and Nanoscale Physics Clean two-dimensional Fermi liquids are now known to exhibit an intermediate \emph{tomographic} regime, between ballistic and Navier--Stokes transport, caused by the anomalously slow relaxation of parity-odd multipolar deformations of the Fermi surface. Here we show that this anomaly extends to the dynamical realm. Starting from a microscopic numerical evaluation of the linearized electron--electron collision operator, we find that the finite-frequency nonlocal conductivity is controlled at low frequency by a single hydrodynamic pole, $σ(q,ω)=\mathcal{D}(q)/(iω+η_\star q^z)$, with dynamical exponent $z=4/3$ and superdiffusive viscosity $η_\star$. Remarkably, the pole residue itself is scale dependent and obeys $\mathcal{D}(q)\sim q^{-α}$ with $α=1/3$, so the dynamical properties are described by two separate exponents rather than one. We interpret the residue suppression using a Krylov-chain description of current relaxation: as $q$ increases, the longest-lived quasinormal mode ceases to be a nearly pure current excitation and spreads over higher odd angular harmonics. Finally, we show that AC transport in narrow channels provides a direct experimental probe of these phenomena. |
| title | AC Fingerprints of 2D Electron Hydrodynamics: Superdiffusion and Drude Weight Suppression |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.15737 |