A magnetic resonance in high-frequency viscosity of two-dimensional electrons

Abstract

Two-dimensional (2D) electrons in high-quality nanostructures at low temperatures can form a viscous fluid. We develop a theory of high-frequency magnetotransport in such fluid. The time dispersion of viscosity should be taken into account at the frequencies about and above the rate of electron-electron collisions. We show that the shear viscosity coefficients as functions of magnetic field and frequency have the only resonance at the frequency equal to the doubled cyclotron frequency. We demonstrate that such resonance manifests itself in the plasmon damping. Apparently, the predicted resonance is also responsible for the peaks and features in photoresistance and photovoltage, recently observed on the best-quality GaAs quantum wells. The last fact should considered as an important evidence of forming a viscous electron fluid in such structures.

6 pages, 2 figures

References in corpus (12)

• Hydrodynamics of electrons in graphene
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Magnetoresistance in two-component systems
• Colossal negative magnetoresistance in a 2D electron gas
• Stokes paradox in electronic Fermi liquids
• A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
• Hydrodynamic Model for Conductivity in Graphene
• Nonmonotonic magnetoresistance of a two-dimensional viscous electron-hole fluid in a confined geometry
• Pulsating flow and boundary layers in viscous electronic hydrodynamics
• Counterflows in viscous electron-hole fluid
• The photoresponse of a two-dimensional electron gas at the second harmonic of the cyclotron resonance
• Alternating currents and shear waves in viscous electronics

Cited by in corpus (22)

• Hydrodynamic approach to two-dimensional electron systems
• Viscosity of two-dimensional electrons
• Two-dimensional electron honey: highly viscous electron fluid in which transverse magnetosonic waves can propagate
• The Hall effect in ballistic flow of two-dimensional interacting particles
• Hydrodynamic charge transport in GaAs/AlGaAs ultrahigh-mobility two-dimensional electron gas
• Boundary condition and geometry engineering in electronic hydrodynamics
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Skin effect as a probe of transport regimes in Weyl semimetals
• Optical conductivity in graphene: hydrodynamic regime
• Hall effect in Poiseuille flow of two-dimensional electron fluid
• Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance
• Shear Bernstein modes in a two-dimensional electron liquid
• Rotational viscosity in spin resonance of hydrodynamic electrons
• Highly correlated two-dimensional viscous electron fluid in moderate magnetic fields
• Giant Hall effect in the ballistic transport of two-dimensional electrons
• Spin imaging of Poiseuille flow of viscous electronic fluid
• Ballistic flow of two-dimensional electrons in a magnetic field
• Acoustic plasmons and isotropic short-range interaction in two-component electron liquids
• Tomographic collective modes in a magnetic field
• Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field