Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
arXiv:1706.03775 · doi:10.1103/PhysRevB.96.205417
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 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.
arXiv comment4 pages + references + supplementary information, 1 figure
References in corpus (34)
- Negative local resistance caused by viscous electron backflow in graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Lectures on hydrodynamic fluctuations in relativistic theories
- Viscosity of Quantum Hall Fluids
- Hydrodynamic electron flow in high-mobility wires
- Holographic quantum matter
- Coulomb drag
- Hydrodynamic description of transport in strongly correlated electron systems
- Transport in strongly correlated two dimensional electron fluids
- Slow imbalance relaxation and thermoelectric transport in graphene
- Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
- Generalized global symmetries and dissipative magnetohydrodynamics
- Hydrodynamics in graphene: Linear-response transport
- Bulk and shear viscosities of the 2D electron liquid in a doped graphene sheet
- Relativistic magnetohydrodynamics
- Parity-Violating Hydrodynamics in 2+1 Dimensions
- Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
- Collective cyclotron motion of the relativistic plasma in graphene
- Memory matrix theory of magnetotransport in strange metals
- Incoherent transport in clean quantum critical metals
- Coulomb Drag in the Extreme Quantum Limit
- Hydrodynamic transport in strongly coupled disordered quantum field theories
- Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field
- Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
- Hyperscaling at the spin density wave quantum critical point in two dimensional metals
- Coulomb drag in compressible quantum Hall states
- Viscous magnetoresistance of correlated electron liquids
- Coulomb drag in double layer electron systems at even denominator filling factors
- Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
- Hydrodynamic Coulomb drag of strongly correlated electron liquids
- Magnetoresistance in relativistic hydrodynamics without anomalies
- Missing 2k_F Response for Composite Fermions in Phonon Drag
- Mesoscopic Fluctuations of Coulomb Drag of Composite Fermions
Cited by in corpus (20)
- Hydrodynamics of electrons in graphene
- Magnetotransport in a model of a disordered strange metal
- Hydrodynamic approach to two-dimensional electron systems
- Hydrodynamic electron transport near charge neutrality
- On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
- Hydrodynamic magnetoresistance in graphene Corbino devices
- Magnetodrag in hydrodynamic regime: effects of magnetoplasmon resonance and Hall viscosity
- Fluctuation-driven thermal transport in graphene double-layers at charge neutrality
- Sign of viscous magnetoresistance in electron fluids
- Transport signatures of plasmon fluctuations in electron hydrodynamics
- Hydrodynamic Coulomb drag and bounds on diffusion
- Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
- Coulomb drag and heat transfer in strange metals
- Drag resistance mediated by quantum spin liquids
- 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
- Near-field heat transfer and drag resistance in bilayers of composite fermions
- Nonreciprocal Coulomb drag in electron bilayers