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Electron hydrodynamics gives rise to surprising correlated behaviors in whichelectrons "cooperate" to quench dissipation and reduce the electric fieldsneeded to sustain the flow. Such collective "free" flows are usually expectedat the hydrodynamic lengthscales exceeding the electron-electron scatteringmean free path $\ell_{\rm ee}$. Here we predict that in two-dimensionalelectron gases the collective free flows actually occur at the distances muchsmaller than $\ell_{\rm ee}$, in a nominally ballistic regime. Thesub-$\ell_{\rm ee}$ free flows arise due to retroreflected holes originatingfrom head-on electron electron collisions, which retrace the paths of impingingelectrons and cancel out their potential. An exact solution, obtained inCorbino geometry, predicts potential strongly screened by the hole backflow.Screened potential is described by a fractional power law $r^{-5/3}$ over awide range of $r$ values, from macroscales down to deep sub-$\ell_{\rm ee}$scales, and a distinct non-Fermi-liquid temperature dependence.

Superscreening by a Retroreflected Hole Backflow in Tomographic Electron Fluids