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arXiv · 2504.07909

Hydrodynamic Coulomb drag in odd electron liquids

Dmitry Zverevich·Dmitri B. Gutman·Alex Levchenko
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Abstract

We consider the problem of Coulomb drag resistance in bilayers of electron liquids with spontaneously broken time-reversal symmetry. In the hydrodynamic regime, the viscosity tensor of such fluids has a nonvanishing odd component. In this scenario, fluctuating viscous stresses drive the propagation of plasmons, whose dispersion relations are modified by nondissipative odd viscous waves. Coulomb coupling of electron density fluctuations induces a drag force exerted by one layer on the other in the presence of a steady flow. This drag force can be expressed through the dynamic structure factor of the electron liquid, which is peaked at frequencies corresponding to plasmon resonances in the bilayer. As a result, the drag resistivity depends on the dissipationless odd viscosity of the fluid. We quantify this effect and present a general theory of hydrodynamic fluctuations applicable to odd electron liquids, both with and without Galilean invariance.

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Dmitry Zverevich, Dmitri B. Gutman, Alex Levchenko. 2025-04-10. Hydrodynamic Coulomb drag in odd electron liquids. https://doi.org/10.1103/g9yl-rtbr

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