Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
arXiv:2207.13894 · doi:10.1038/s41467-023-37966-z
Abstract
Electron hydrodynamics typically emerges in electron fluids with a high electron-electron collision rate. However, new experiments with thin flakes of WTe have revealed that other momentum-conserving scattering processes can replace the role of the electron-electron interaction, thereby leading to a novel, so-called para-hydrodynamic regime. Here, we develop the kinetic theory for para-hydrodynamic transport. To this end, we consider a ballistic electron gas in a thin 3-dimensional sheet where the momentum-relaxing () and momentum-conserving () mean free paths are decreased due to boundary scattering from a rough surface. The resulting effective mean free path of the electronic flow is then expressed in terms of microscopic parameters of the sheet boundaries, predicting that a para-hydrodynamic regime with emerges generically in ultraclean three-dimensional materials. Using our approach, we recover the transport properties of WTe in the para-hydrodynamic regime in good agreement with existing experiments.
arXiv comment6+6 pages, 6 figures. The published v2 contains only minor changes
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