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Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony

Author

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  • Alexandre Jaoui

    (Collège de France, PSL Research University
    Ecole Supérieure de Physique et de Chimie Industrielles)

  • Benoît Fauqué

    (Collège de France, PSL Research University)

  • Kamran Behnia

    (Ecole Supérieure de Physique et de Chimie Industrielles)

Abstract

Detecting hydrodynamic fingerprints in the flow of electrons in solids constitutes a dynamic field of investigation in contemporary condensed matter physics. Most attention has been focused on the regime near the degeneracy temperature when the thermal velocity can present a spatially modulated profile. Here, we report on the observation of a hydrodynamic feature in the flow of quasi-ballistic degenerate electrons in bulk antimony. By scrutinizing the temperature dependence of thermal and electric resistivities, we detect a size-dependent departure from the Wiedemann-Franz law, unexpected in the momentum-relaxing picture of transport. This observation finds a natural explanation in the hydrodynamic picture, where upon warming, momentum-conserving collisions reduce quadratically in temperature both viscosity and thermal diffusivity. This effect has been established theoretically and experimentally in normal-state liquid 3He. The comparison of electrons in antimony and fermions in 3He paves the way to a quantification of momentum-conserving fermion-fermion collision rate in different Fermi liquids.

Suggested Citation

  • Alexandre Jaoui & Benoît Fauqué & Kamran Behnia, 2021. "Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-020-20420-9
    DOI: 10.1038/s41467-020-20420-9
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