Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag

Abstract

We consider a hydrodynamic description of transport for generic two dimensional electron systems that lack Galilean invariance and do not fall into the category of Fermi liquids. We study magnetoresistance and show that it is governed only by the electronic viscosity provided that the wavelength of the underlying disorder potential is large compared to the microscopic equilibration length. We also derive the Coulomb drag transresistance for double-layer non-Fermi liquid systems in the hydrodynamic regime. As an example, we consider frictional drag between two quantum Hall states with half-filled lowest Landau levels, each described by a Fermi surface of composite fermions coupled to a $U(1)$ gauge field. We contrast our results to prior calculations of drag of Chern-Simons composite particles and place our findings in the context of available experimental data.

4 pages + references + supplementary information, 1 figure

References in corpus (8)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Slow imbalance relaxation and thermoelectric transport in graphene
• Hydrodynamics in graphene: Linear-response transport
• Collective cyclotron motion of the relativistic plasma in graphene
• Memory matrix theory of magnetotransport in strange metals
• Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field
• Viscous magnetoresistance of correlated electron liquids
• Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals

Cited by in corpus (15)

• Hydrodynamics of electrons in graphene
• Hydrodynamic approach to two-dimensional electron systems
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Hydrodynamic magnetoresistance in graphene Corbino devices
• Fluctuation-driven thermal transport in graphene double-layers at charge neutrality
• Transport signatures of plasmon fluctuations in electron hydrodynamics
• Drag resistance mediated by quantum spin liquids
• Coulomb drag and heat transfer in strange metals
• Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
• Thermal transfer enhancement by hydrodynamic plasmons in electron bilayers
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• Hydrodynamic Coulomb drag in odd electron liquids
• Spin mechanism of drag resistance in strongly correlated electron liquids
• Nonreciprocal Coulomb drag in electron bilayers
• Near-field heat transfer and drag resistance in bilayers of composite fermions