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Angular Superdiffusion and Directional Memory in Two-Dimensional Electron Fluids

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arxiv 1708.01915 v2 pith:BUQ37Y5M submitted 2017-08-06 cond-mat.mes-hall cond-mat.str-el

Patrick Ledwith , Haoyu Guo , Leonid Levitov This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords angulardynamicsexcitationsfermibehaviordirectionalmemorysuperdiffusion
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abstract

We demonstrate that 2D Fermi liquids can support peculiar excitations that are not subject to Landau's $T^2$ dissipation. The long-lived excitations relax through correlated angular dynamics involving "lock-step" angular displacements along the Fermi surface occurring in collinear two-particle collisions, a surprising behavior that is unique to 2D systems. We develop a microscopic picture of the non-Brownian random walk, describing the angular dynamics as anomalous diffusion ("superdiffusion") on the Fermi surface. Strongly-correlated dynamics with directional memory, mediated by novel undamped excitations, dominates at moderately long times, pushing the onset of conventional hydrodynamics to abnormally large timescales. This exotic behavior can be directly probed by momentum-resolved tunneling techniques.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Magnetic field suppression of tomographic electron transport

    cond-mat.mes-hall 2024-11 accept novelty 6.0 of 10

    A small magnetic field suppresses tomographic electron transport at a field scale set by the odd-parity mean free path, much below the scale for hydrodynamic suppression.

  2. Sign of viscous magnetoresistance in electron fluids

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    Bulk viscous electron flow has positive magnetoresistance for arbitrary inhomogeneity in one-dimensional periodic models and in weakly inhomogeneous ballistic-to-hydrodynamic crossover calculations, unlike narrow channels.

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