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A fluid in which shear-stress transverse waves, being character for solids,can propagate is usually referred as a highly viscous fluid. Hydrodynamics ofthe fluid formed by conduction electrons has been recently discovered ingraphene, ultra-pure Weyl and layered metals, and high-mobility GaAs quantumwells. Here we construct a theory of magnetotransport in a highly viscoustwo-dimensional (2D) electron fluid in moderate magnetic fields, accounting itsviscoelastic dynamics and the memory effects in the interparticle scattering.In addition to the properties of the microwave-induced resistance oscillations(MIRO) in photoresistance explained by theories for non-interacting 2Delectrons, our theory predicts an irregular shape of MIRO at certain samplesizes, a peak in photoresistance near the doubled electron cyclotron frequency,and no dependence of MIRO on the helicity of the circular polarization ofradiation. These effects, which are the evidences of the excitation of thetransverse magnetosonic waves, were observed in magnetotransport experiments onultra-high-quality GaAs quantum wells. We conclude that 2D electrons in suchstructures in magnetic field form a highly viscous fluid.

Highly viscous electron fluid in GaAs quantum wells