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We demonstrate that 2D Fermi liquids can support peculiar excitations thatare not subject to Landau's $T^2$ dissipation. The long-lived excitations relaxthrough correlated angular dynamics involving "lock-step" angular displacementsalong the Fermi surface occurring in collinear two-particle collisions, asurprising behavior that is unique to 2D systems. We develop a microscopicpicture of the non-Brownian random walk, describing the angular dynamics asanomalous diffusion ("superdiffusion") on the Fermi surface.Strongly-correlated dynamics with directional memory, mediated by novelundamped excitations, dominates at moderately long times, pushing the onset ofconventional hydrodynamics to abnormally large timescales. This exotic behaviorcan be directly probed by momentum-resolved tunneling techniques.

Angular Superdiffusion and Directional Memory in Two-Dimensional Electron Fluids