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Coulomb drag of viscous electron fluids: Drag viscosity and negative drag conductivity

Eddwi H. Hasdeo1,2, Edvin G. Idrisov1,3, and Thomas L. Schmidt1,4

  • 1Department of Physics and Material Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
  • 2Research Center for Quantum Physics, National Research and Innovation Agency, 15314 South Tangerang, Indonesia
  • 3Abrikosov Center for Theoretical Physics, MIPT, 141701 Institutskii per., Dolgoprudnyi, Russia
  • 4School of Chemical and Physical Sciences, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand

Phys. Rev. B 107, L121107 – Published 20 March, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L121107

Abstract

We show that Coulomb drag in bilayer systems in the regime of electron hydrodynamics leads to additional viscosity terms in the hydrodynamic equations, the drag, and drag-Hall viscosities, besides the well-known kinematic and Hall viscosities. These additional viscosity terms arise from a change of the stress tensor due to the interlayer Coulomb interactions. All four viscosity terms are tunable by varying the applied magnetic field and the electron densities in the two layers. At certain ratios between the electron densities in the two layers, the drag viscosity dramatically changes the longitudinal transport resulting in a negative drag conductivity.

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